Page 164 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

10.

11.

For which value(s) of does A fail to be invertible?
12.

(a)

(b)

Use Theorem 2.3.3 to show that
13.

is not invertible for any values of , , and . .
Express the following linear systems in the form
14.

(a)

(b)

(c)

For each of the systems in Exercise 14, find
15.

(i) the characteristic equation;

(ii) the eigenvalues;

(iii) the eigenvectors corresponding to each of the eigenvalues.