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Orthogonal Diagonalization

Orthogonal Diagonalization

Learn to diagonalize a square matrix.

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 is a diagonal matrix. The matrix, PP, is said to diagonalize AA.

Example

Consider A=[3234]A=\begin{bmatrix}3&2\\3&4\end{bmatrix} ...