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Orthogonal Diagonalization

Explore orthogonal diagonalization to understand how matrices can be factored using orthogonal matrices. Learn the conditions for diagonalization, focus on symmetric matrices, and see their connection to Singular Value Decomposition (SVD), equipping you with foundational tools for data science applications in Python.

Matrix diagonalization

An n×nn\times n matrix AA is diagonalizable if there exists an invertible matrix, PP, such that D=P1APD=P^{-1}AP ...