Answer this please

6. (Eigenstuff) (a) (3 points) What is an eigenvector of a square matrix A? (i.e. Define eigenvector). 3 7 9 (b) (5 points) Show that V = -3 is an eigenvector of A = -5 What 1 2 4 is the corresponding eigenvalue? (c) (5 points) Find the eigenvalues of B = 1 -16 using the characteristic equation