Exercise 3.18: Properties of Multiplication of Matrix

Exercise 3.18

1. Find the order of the product matrix AB if

2. If A is of order p ×q and B is of order q ×r what is the order of AB and BA?

3. A has ‘a’ rows and ‘a + 3 ’ columns. B has ‘b’ rows and ‘17–b’ columns, and if both products AB and BA exist, find a, b?

4. If  find AB, BA and check if AB = BA?

5. Given that   verify that A(B+C) = AB + AC.

6. Show that the matrices  satisfy commutative property AB=BA

Answers

1. P × R , not defined

2. 7,10

3. 3 × 3, 4 × 2, 4 × 2, 4 × 1, 1 × 3