Page 774 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(b) Find .

Prove: If , then or .
24.

Use the result of Exercise 24 to prove: If and , then .
25.

Prove that for all complex numbers , , and ,
26.

(a)

(b)

Prove that for all complex numbers , , and ,
27.

(a)

(b)

Prove that for all complex numbers , , and .
28.

In quantum mechanics the Dirac matrices are
29.

(a) Prove that .

(b) Two matrices A and B are called anticommutative if . Prove that any two distinct Dirac matrices are
anticommutative. . Show that if , are such numbers, then so is

Describe the set of all complex numbers such that
30. .