If A is an n × n matrix, then A is orthogonally diagonalizable. True or false?
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Step-by-step explanation:
n n×n n × n matrix A is said to be orthogonally diagonalizable if there are an orthogonal matrix P (with P−1=PT P − 1 = P T and P has orthonormal columns) and a diagonal matrix D such that A=PDPT=PDP−1 A = P D P T = P D P − 1 .
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