Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 2 2 5 0 3 2 0 1 2 (a) the characteristic equation [A2]{}.4][}.1]=0 V (b) the eigenvalues (Enter your answers from smallest to largest.) (11,12,213) =( 12A ) W a basis for each of the corresponding eigenspaces X1 = ( 3:1T1 ] X x2 = t X X