{"id":2973,"date":"2024-09-12T14:00:44","date_gmt":"2024-09-12T10:30:44","guid":{"rendered":"https:\/\/projestaan.com\/mag\/?p=2973"},"modified":"2024-09-23T09:31:43","modified_gmt":"2024-09-23T06:01:43","slug":"how-to-multiply-matrix-in-matlab","status":"publish","type":"post","link":"https:\/\/projestaan.com\/mag\/how-to-multiply-matrix-in-matlab\/","title":{"rendered":"\u0686\u06af\u0648\u0646\u06af\u06cc \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u0631 MATLAB +\u0647\u0645\u0631\u0627\u0647 \u0645\u062b\u0627\u0644"},"content":{"rendered":"\t\t
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\u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u0631 MATLAB<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628\u060c \u0627\u0628\u0632\u0627\u0631 \u0642\u062f\u0631\u062a\u0645\u0646\u062f\u06cc \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a\u200c\u0647\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a \u0648 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0622\u0646 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.
\u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc(Matrix Multiplication) \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f \u0648 \u0639\u0645\u0644\u06cc\u0627\u062a \u0636\u0631\u0628 \u0639\u0646\u0635\u0631 \u0628\u0647 \u0639\u0646\u0635\u0631 (Element-wise Multiplication) \u06cc\u0627 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 (Hadamard Product) \u0646\u06cc\u0632 \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u062a\u06a9 \u062a\u06a9 \u0639\u0646\u0627\u0635\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0647\u0645 \u0628\u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f. \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627 \u06cc\u06a9\u06cc \u0627\u0632 \u0639\u0645\u0644\u06cc\u0627\u062a\u200c\u0647\u0627\u06cc \u0627\u0633\u0627\u0633\u06cc \u062f\u0631 \u062c\u0628\u0631 \u062e\u0637\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 MATLAB \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0642\u0627\u0628\u0644 \u0627\u0646\u062c\u0627\u0645 \u0627\u0633\u062a. \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc\u200c\u0647\u0627\u06ccMATLAB \u062f\u0631 \u0645\u062f\u06cc\u0631\u06cc\u062a \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc sparse\u060c \u0686\u0646\u062f\u0628\u0639\u062f\u06cc \u0648 \u0627\u0646\u062c\u0627\u0645 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u067e\u06cc\u0634\u0631\u0641\u062a\u0647 \u0645\u0627\u0646\u0646\u062f PCA \u0645\u062a\u0644\u0628 \u0631\u0627 \u0628\u0647 \u0627\u0628\u0632\u0627\u0631\u06cc \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0628\u0631\u0627\u06cc \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0648 \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0639\u0644\u0645\u06cc \u0648 \u0645\u0647\u0646\u062f\u0633\u06cc \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0639\u0645\u0644\u06af\u0631 \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 “*” (\u0633\u062a\u0627\u0631\u0647 ) \u0627\u0633\u062a.
\u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u06cc\u06a9\u06cc \u0627\u0632 \u0639\u0645\u0644\u06cc\u0627\u062a\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u062f\u0631 \u062c\u0628\u0631 \u062e\u0637\u06cc \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0639\u062f\u062f\u06cc \u0627\u0633\u062a \u0648 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0645\u062a\u0639\u062f\u062f\u06cc \u062f\u0631 \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u060c \u067e\u0631\u062f\u0627\u0632\u0634 \u062a\u0635\u0648\u06cc\u0631 \u0648 \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0639\u0644\u0645\u06cc \u062f\u0627\u0631\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0636\u0631\u0628\u060c \u0647\u0631 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u06cc\u0633\u062a\u06cc \u0627\u0628\u0639\u0627\u062f \u0645\u0634\u0627\u0628\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f. \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a\u060c MATLAB \u062e\u0637\u0627\u06cc \u0627\u0628\u0639\u0627\u062f \u0646\u0627\u0645\u0646\u0627\u0633\u0628 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f. \u0639\u0645\u0644\u06af\u0631 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 “*.” (\u0646\u0642\u0637\u0647 \u0633\u062a\u0627\u0631\u0647) \u0627\u0633\u062a.<\/p>

\u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u0631 matlab \u06cc\u06a9\u06cc \u0627\u0632\u0639\u0645\u0644\u06cc\u0627\u062a \u0647\u0627\u06cc \u0645\u0647\u0645 \u062f\u0631 \u0627\u0646\u062c\u0627\u0645 \u067e\u0631\u0648\u0698\u0647 \u0645\u062a\u0644\u0628<\/a> \u0645\u06cc\u0628\u0627\u0634\u062f \u06a9\u0647 \u062f\u0627\u0646\u0634\u062c\u0648\u0647\u0627 \u0627\u0632 \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u067e\u0631\u0648\u0698\u0647 \u0647\u0627\u06cc \u062e\u0648\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u06a9\u0646\u0646\u062f.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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\u062c\u062f\u0648\u0644 \u0627\u0646\u0648\u0627\u0639 \u0636\u0631\u0628 \u062f\u0631 \u0645\u062a\u0644\u0628<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u0639\u0645\u0644\u06af\u0631<\/p><\/td>

\u062a\u0648\u0636\u06cc\u062d\u0627\u062a<\/p><\/td>

\u0646\u0627\u0645 \u0636\u0631\u0628<\/p><\/td><\/tr>

*<\/p><\/td>

\u0636\u0631\u0628 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633<\/p><\/td>

\u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc<\/p><\/td><\/tr>

*.<\/p><\/td>

\u0636\u0631\u0628 \u062a\u06a9 \u062a\u06a9 \u0639\u0646\u0627\u0635\u0631 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633<\/p><\/td>

\u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0627\u06cc<\/p><\/td><\/tr><\/tbody><\/table>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u0645\u062b\u0627\u06441: \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0633\u0627\u062f\u0647<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633
A = [12, 22; 53, 14];
B = [15, 26; 72, 80];
% \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627
C = A * B;
disp(C);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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1764 2072
1803 2498<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u0645\u062b\u0627\u0644 2. \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 \u0648\u06a9\u062a\u0648\u0631<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 \u0648\u06a9\u062a\u0648\u0631
A = [1, 12; 3, 4];
v = [5; 36];
% \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 \u0648\u06a9\u062a\u0648\u0631
M = A * v;
disp(M);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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437
159<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u0645\u062b\u0627\u0644 3. \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627 \u0628\u0627 \u0627\u0628\u0639\u0627\u062f \u0645\u062e\u062a\u0644\u0641<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627 \u0628\u0627 \u0627\u0628\u0639\u0627\u062f \u0645\u062e\u062a\u0644\u0641
A = [31, 22, 3; 14, 5, 46];
B = [70, 8; 19, 10; 11, 2];
% \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627
C = A * B;
disp(C);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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2621 474
1581 254<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u0645\u062b\u0627\u0644 4. \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc Sparse<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
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clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633 sparse
A = sparse([1, 3], [2, 4], [2, 2], 5, 5);
B = sparse([2, 4], [1, 3], [3, 4], 5, 5);
% \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 sparse
C = A * B;
disp(C);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
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\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\u00a0(1,1) 6
(3,3) 8<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u0645\u062b\u0627\u06445. \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0686\u0646\u062f\u0628\u0639\u062f\u06cc<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
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clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0633\u0647 \u0628\u0639\u062f\u06cc
A = rand(2, 3, 2);
B = rand(3, 2, 2);
% \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0633\u0647 \u0628\u0639\u062f\u06cc
C = zeros(2, 2, 2);
for k = 1:4
C(:, :, k) = A(:, :, k) * B(:, :, k);
end
disp(C);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

(:,:,1) = 1.2870 0.8710
1.2858 1.1663
(:,:,2) = 0.7830 0.2505
0.9626 0.6909<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 6. \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 Transpose<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633
A = [11, 2; 30,54];
% \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627 \u062a\u0631\u0627\u0646\u0647\u0627\u062f\u0647 \u0622\u0646
M = A * A’;
disp(M);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

125 438
438 3816<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 7. \u062d\u0644 \u0633\u06cc\u0633\u062a\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062e\u0637\u06ccAX = B \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627
A = [20, 1; 11, 3];
B = [18; 3];
% \u062d\u0644 \u0633\u06cc\u0633\u062a\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a
X = A \\ B;
disp(X);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a01.0408
-2.8163<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0\u0645\u062b\u0627\u06448. \u062a\u062d\u0644\u06cc\u0644 \u0627\u062c\u0632\u0627\u06cc \u0627\u0635\u0644\u06cc (PCA) \u06a9\u0647 \u06cc\u06a9\u06cc \u0627\u0632 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0645\u0647\u0645 \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a.<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u062f\u0627\u062f\u0647\u200c\u0647\u0627
X = rand(10, 3);
% \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633
C = cov(X);
% \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u06cc\u0698\u0647 \u0648 \u0628\u0631\u062f\u0627\u0631\u0647\u0627\u06cc \u0648\u06cc\u0698\u0647
[eigVec, eigVal] = eig(C);
% \u0627\u0646\u062a\u062e\u0627\u0628 \u0628\u0632\u0631\u06af\u200c\u062a\u0631\u06cc\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u06cc\u0698\u0647
[~, idx] = sort(diag(eigVal), ‘descend’);
eigVec = eigVec(:, idx);
disp(eigVec);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0-0.4486 0.8301 0.3312
-0.5910 0.0024 -0.8067
0.6704 0.5576 -0.4895<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 9. \u062f\u0633\u062a\u0648\u0631 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u0631 MATLAB<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633
A = [1, 10; 13, 4];
B = [5, 6; 7, 5];
% \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc
C = A .* B;
disp(C);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

5 60
91 20<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u064410. \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0628\u0627 \u0648\u06a9\u062a\u0648\u0631: \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u06cc\u0646 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 \u06cc\u06a9 \u0648\u06a9\u062a\u0648\u0631 \u0627\u0646\u062c\u0627\u0645 \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0639\u0645\u0644 \u0628\u0647 \u0634\u0631\u0637\u06cc \u06a9\u0647 \u0627\u0628\u0639\u0627\u062f \u0628\u0647 \u062f\u0631\u0633\u062a\u06cc \u0647\u0645\u200c\u0631\u0627\u0633\u062a\u0627 \u0628\u0627\u0634\u0646\u062f\u060c \u0642\u0627\u0628\u0644 \u0627\u0646\u062c\u0627\u0645 \u0627\u0633\u062a.<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648 \u0648\u06a9\u062a\u0648\u0631
A = [1, 21, 12; 4, 15, 6];
V = [10; 2];
% \u062a\u063a\u06cc\u06cc\u0631 \u0627\u0628\u0639\u0627\u062f \u0648\u06a9\u062a\u0648\u0631 \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc
v_expanded = repmat(V, 1, size(A, 2));
% \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc
M = A .* v_expanded;
disp(M);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a010 210 120
8 30 12<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 11. \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0686\u0646\u062f\u0628\u0639\u062f\u06cc \u0628\u0627 \u0627\u0628\u0639\u0627\u062f \u0645\u0634\u0627\u0628\u0647<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u0645\u0627\u062a\u0631\u06cc\u0633\u200c\u0647\u0627\u06cc \u0633\u0647\u200c\u0628\u0639\u062f\u06cc
A = rand(2, 3,2);
B = rand(2, 3,2);
% \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc
M = A .* B;
disp(M);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

(:,:,1) =
0.0575 0.3991 0.0379
0.1205 0.0766 0.2014
(:,:,2) =
0.1105 0.6720 0.4965
0.0454 0.1786 0.0627<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 12. \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u063a\u06cc\u0631\u062e\u0637\u06cc \u0648 \u062a\u062d\u0644\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u0628\u0627 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

clc; clear; close all
% \u062a\u0639\u0631\u06cc\u0641 \u062f\u0627\u062f\u0647\u200c\u0647\u0627
X = rand(3,3);
Y = rand(3,3);
% \u0636\u0631\u0628 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0628\u0631\u0627\u06cc \u062a\u062d\u0644\u06cc\u0644
Z = X .* Y;
disp(Z);<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a00.2795 0.4926 0.5177
0.6534 0.0005 0.7312
0.2003 0.4973 0.3092<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u0645\u062b\u0627\u0644 13. \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0648 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0636\u0631\u0628<\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u00a0clc; clear; close all
t = 0:0.01:5;
x = sin(t);
y = cos(t);
M = x .* y;
plot(t, M);
grid on<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t

\u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0646\u0627\u0645\u0647:<\/strong><\/h2>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\"\u062e\u0631\u0648\u062c\u06cc\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

\u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062f\u0631 MATLAB \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u062a\u0644\u0628\u060c \u0627\u0628\u0632\u0627\u0631 \u0642\u062f\u0631\u062a\u0645\u0646\u062f\u06cc \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a\u200c\u0647\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a \u0648 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0622\u0646 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f. \u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc(Matrix Multiplication) \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f \u0648 \u0639\u0645\u0644\u06cc\u0627\u062a \u0636\u0631\u0628 \u0639\u0646\u0635\u0631 \u0628\u0647 \u0639\u0646\u0635\u0631 (Element-wise Multiplication) \u06cc\u0627 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 (Hadamard Product) \u0646\u06cc\u0632 \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u062a\u06a9 \u062a\u06a9 \u0639\u0646\u0627\u0635\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 […]<\/p>\n","protected":false},"author":5,"featured_media":3303,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rank_math_lock_modified_date":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2973","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matlab-training"],"views":842,"_links":{"self":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts\/2973","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/comments?post=2973"}],"version-history":[{"count":49,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts\/2973\/revisions"}],"predecessor-version":[{"id":3461,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/posts\/2973\/revisions\/3461"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/media\/3303"}],"wp:attachment":[{"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/media?parent=2973"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/categories?post=2973"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projestaan.com\/mag\/wp-json\/wp\/v2\/tags?post=2973"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}