Page 548 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(b)
(c)

Find the eigenvalues of for
11.

Find the eigenvalues and bases for the eigenspaces of for
12.

Let A be a matrix, and call a line through the origin of invariant under A if lies on the line when x does. Find
13. equations for all lines in , if any, that are invariant under the given matrix.

(a)

(b)

(c)

Find given that A has as its characteristic polynomial.
14.

(a)

(b)