1 Let A -2 3 Find two different diagonal matrices D and the corresponding matrix S...

 

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1 Let A -2 3 Find two different diagonal matrices D and the corresponding matrix S such that A = SDS-1. Di = D2 (2 points) A, P and D are n x n matrices. Check the true statements below: | A. A is diagonalizable if A = PDP-1 for some diagonal matrix D and some invertible matrix P. B. If A is diagonalizable, then A is invertible. C. If there exists a basis for R" consisting entirely of eigenvectors of A, then A is diagonalizable. D. A is diagonalizable if and only if A has n eigenvalues, counting multiplicities. 1 Let A -2 3 Find two different diagonal matrices D and the corresponding matrix S such that A = SDS-1. Di = D2 (2 points) A, P and D are n x n matrices. Check the true statements below: | A. A is diagonalizable if A = PDP-1 for some diagonal matrix D and some invertible matrix P. B. If A is diagonalizable, then A is invertible. C. If there exists a basis for R" consisting entirely of eigenvectors of A, then A is diagonalizable. D. A is diagonalizable if and only if A has n eigenvalues, counting multiplicities.