3. Let A = 10 22 1 1 30 2 -1 4 0 -1 a 2 where a € R. (a) Suppose 3 is an eigenvalue of A. Find a. (b) Find the character
Posted: Fri Jul 01, 2022 5:29 am
3. Let A = 10 22 1 1 30 2 -1 4 0 -1 a 2 where a € R. (a) Suppose 3 is an eigenvalue of A. Find a. (b) Find the characteristic polynomial of A and all eigenvalues of A. (c) Find the basis of the corresponding eigenspace of each eigenvalue. Is A diagonalizable?