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Matrix similarity

Ciro Santilli (@cirosantilli, 37) ... Algebra Linear algebra Matrix Eigenvalues and eigenvectors Eigendecomposition of a matrix Sylvester's law of inertia
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version

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  1. Sylvester's law of inertia
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Matrix similarity by Wikipedia Bot 0
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Matrix similarity is an important concept in linear algebra that describes a relationship between two square matrices. Two matrices \( A \) and \( B \) are said to be similar if there exists an invertible matrix \( P \) such that: \[ B = P^{-1} A P \] In this expression: - \( A \) is the original matrix. - \( B \) is the matrix that is similar to \( A \).
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