a Let A be a 3 3 matrix with characteristic equation 3 5 2

(a) Let A be a 3 × 3 matrix with characteristic equation 3 5 2 + 3 15 = 0. Find the real eigenvalues of A and state the multiplicity of each eigenvalue. Then determine if A is invertible. (b) Let A be a 7 × 7 matrix with characteristic equation 7 2 6 35 5 = 0. Find the real eigenvalues of A and state the multiplicity of each eigenvalue. Then determine if A is invertible.

eigen value of A = 7