Consider the matrix a. a = −3 6 1 −2 find the characteristic polynomial for the matrix a. (write your answer in terms of λ.) (−3−λ)(−2−λ)−(6) find the real eigenvalues for the matrix a. (enter your answers as a comma-separated list.) λ = 0,−5 find a basis for each eigenspace for the matrix a. 1 -2 (smaller eigenvalue) -3 1 (larger eigenvalue)