in exercises 5 8 find matrix p that diagonalizes a and check your work by computing p ap 14 12 6 a 20 5a 2 7a 0 0 3 8 a 44515
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find a matrix p such that ptap orthogonally diagonalizes a verify that ptap gives the proper diagonal form enter each matrix in the form row 1 row 2 j where each row is a comma separated lis 39554
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Guided Proof Prove that if A and B are diagonal matrices (of the same size), then A B=B A Getting Started: To prove that the matrices A B and B A are equal, you need to show that their corresponding entries are equal. (i) Begin your proof by letting A=[ai j] and B=[bi j] be two diagonal n ×n matrices. (ii) The ijth entry of the product A B is ci j=∑k=1^n ai k bk j (iii) Evaluate the entries ci j for the two cases i ≠j and i=j (iv) Repeat this analysis for the product B A | Numerade
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SOLVED:Prove that if A is a diagonalizable matrix, then the rank of A is the number of nonzero eigenvalues of A.
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