1. Compute using the following matrices:

A= -2 2 B= 1 -1 C= 3 2

4 0 -1 1 0 1

(a)2A - 3B+ C'

(b)(A+B)' + 1/2C

2. Compute using the following vectors:

-2 0

a= 1 b= -1

-2 3

(a)a/b

(b)ab'

3. Compute using the following matrices:

A= 3 2 B= -1 1 -2

-2 1 0 -1 3

(a)AB

(b)B'A

(c)B'A'

4. Using the following matrices, prove the following laws:

A=2 -1 B= 2 -1 C= 2 -1

3 -2 1 5 0 -3

(a)A(B+C) =AB+AC

(b)(ABC)'=C'B'A'

5. Find the determinantlAlfor the following matrices and determine its rank

(a) A= 4 3

-1 2

(b)A= -9 3

6 -2

(c) A= 1 3 5

4 -1 0

2 -2 3