How can I generate reciprocal of a matrix

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will99 2019-4-19

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https://ww2.mathworks.cn/matlabcentral/answers/457397-how-can-i-generate-reciprocal-of-a-matrix

评论： Walter Roberson 2020-9-15

采纳的回答： Star Strider

在 MATLAB Online 中打开

I have big matrix A 500 by 500 and I want to generate reciprocal of matrix A

what caluclation shuould I do or is there a function in matlab that I can use

%Matrix A
A = [2, 3, -1, 5; -1, 4, -7, -3; -6, 0, 3, 9; 7, 6, -3, 8];
%Matrix X, reciprocal of matrix A 
X= ....

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Answer 1

Star Strider 2019-4-19

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It depends on what you mean by ‘reciprocal’. If you want ‘X’ such that:

A*X = eye(size(A,1))

then:

X1 = inv(A);                                                    % Inverse
X2 = pinv(A);                                                   % Pseudo-Inverse

will do what you want.

There are many precautions about calculating the inverse that you will likely encounter. A much better option would be to use the mldivide,\ (link) function if you want to solve linear systems, for example.