Is there a way to find A = PDP^-1 but without computing the inverse of P?
If PP^-1equal to identity matrix, can I say A = ID ?
2026-03-26 07:55:25.1774511725
Diagonalization without computing the inverse
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Calculate the normalised eigenvectors of your matrix and make these eigenvectors the columns of a new matrix U. Now calculate U^T * P * U using matrix multiplication and then you will obtain a diagonalised matrix with the eigenvalues of P as the entries on the diagonal.
NB: U^T is U-transpose.