1. Given A (a) Find the characteristic polynomial of A. (b) Find all eigenvalues and their...

 

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1. Given A (a) Find the characteristic polynomial of A. (b) Find all eigenvalues and their multiplicities of A. (c) For each eigenvalue, find all the eigenvectors. (a) A 2. For each matrix A, find the eigenvalues, eigenvectors, and (if possible) an invertible matrix P such that P-¹AP is diagonal. = = (b) A = 1 -3 0-2-6 2 5 0 = 1 (²23) 0 a 1 1 a 0 (a, b non-zero, a ‡ b) 0 b 3. Compute An for 2(a). 1. Given A (a) Find the characteristic polynomial of A. (b) Find all eigenvalues and their multiplicities of A. (c) For each eigenvalue, find all the eigenvectors. (a) A 2. For each matrix A, find the eigenvalues, eigenvectors, and (if possible) an invertible matrix P such that P-¹AP is diagonal. = = (b) A = 1 -3 0-2-6 2 5 0 = 1 (²23) 0 a 1 1 a 0 (a, b non-zero, a ‡ b) 0 b 3. Compute An for 2(a).

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a To find the characteristic polynomial of matrix A we need to find the determinant of A I where is ... View the full answer