Page 115 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

Show that A and B commute if .
9.

Find a diagonal matrix A that satisfies
10.

(a)

(b)

11. , where D is a diagonal matrix.
(a) Factor A into the form

(b) Is your factorization the only one possible? Explain.

Verify Theorem 1.7.1b for the product , where
12.

Verify Theorem 1.7.1d for the matrices A and B in Exercise 12.
13.

Verify Theorem 1.7.3 for the given matrix A.
14.

(a)

(b)

Let A be an symmetric matrix.
15.