Question 3. Let A = 3 (3a) Find the eigenvalues of A. (3b) Find the eigenvectors of A. (3c) Construct the matrix S admitting the eigenvectors of A as columns of S. Then find S-1. (3d) Find the...


Question 3.<br>Let A =<br>3<br>(3a) Find the eigenvalues of A.<br>(3b) Find the eigenvectors of A.<br>(3c) Construct the matrix S admitting the eigenvectors of A as columns of S.<br>Then find S-1.<br>(3d) Find the diagonal matrix D which is similar to A (if it is possible).<br>(3e) Compute A³ by using the diagonal matrix D.<br>

Extracted text: Question 3. Let A = 3 (3a) Find the eigenvalues of A. (3b) Find the eigenvectors of A. (3c) Construct the matrix S admitting the eigenvectors of A as columns of S. Then find S-1. (3d) Find the diagonal matrix D which is similar to A (if it is possible). (3e) Compute A³ by using the diagonal matrix D.

Jun 11, 2022
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