If a square matrix A is diagonalizable, it must have n linearly independent what?
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Eigenvectors
A matrix A is diagonalizable if there exists an invertible matrix P such that P⁻¹AP = D. This occurs if and only if the sum of the dimensions of its eigenspaces equals n.
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- A square matrix of size n is diagonalizable if and only if it has n linearly independent what?