If A and B are 2x2 matrices, how is the input (A*B)^2 interpreted by MATLAB as?

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Craig Egan Allistair Tan
评论： Matt J 2022-6-4
Is (A*B)^2 interpreted as A*B*A*B or (A*B)*(A*B)?

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回答（2 个）

Matt J
Matt J 2022-6-4
It is interpreted as,
tmp=A*B;
C=tmp*tmp;
Benjamin Thompson
Since 2x2 matrix multiplication is supported by the associative property, both of those interpretations are the same. This is similar to scalar multiplication.

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