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If matrix A is related to matrix B by B = P⁻¹AP, what is the term for the relationship between A and B?

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Similarity

Similar matrices represent the same linear operator under different bases. They share many important properties, including the same determinant, trace, and eigenvalues.

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  • What term describes the relationship between matrices A and B if there exists an invertible matrix P such that B = P⁻¹AP?

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