In linear algebra, two n-by-n matrices A and B are called similar if there exists an invertible n-by-n matrix P such that B = P − 1 A P . {\displaystyle B=P^{-1}AP.} Two matrices are similar if and only if they represent the same linear map under two possibly different bases, with P being the change-of-basis matrix.
In linear algebra, two n-by-n matrices A and B are called similar if there exists an invertible n-by-n matrix P such that B = P − 1 A P . {\displaystyle B=P^{-1}AP.} Two matrices are similar if and only if they represent the same linear map under two possibly different bases, with P being the change-of-basis matrix.
Source: Wikipedia "Matrix similarity" · CC BY-SA 4.0
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