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Similar Matrices

  • Definition: Let A and B be nXn matrices. We say that A is similar to B if there is an invertible nXn matrix P such that P^(-1)AP=B (or equivalently AP = PB). If A is similar to B, we write A~B.

    Source: Linear Algebra: A Modern Introduction, 3rd edition by David Poole (note-custom edition titled Matrix Algebra)

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