How can I generate reciprocal of a matrix

144 vues (au cours des 30 derniers jours)
will99
will99 le 19 Avr 2019
Commenté : Walter Roberson le 15 Sep 2020
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= ....

Réponse acceptée

Star Strider
Star Strider le 19 Avr 2019
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.

Plus de réponses (1)

Walter Roberson
Walter Roberson le 19 Avr 2019
I suspect that you want inv(A) but possibly you want 1./A
In most cases inv() is better avoided in favor of using the \ operator or decomposition
  2 commentaires
S Prudhvi
S Prudhvi le 15 Sep 2020
Yes I want every element reciprocal in the matrix
Walter Roberson
Walter Roberson le 15 Sep 2020
1./A is element-by-element reciprocal.

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