Determine whether the following matrix products are

Chapter 1, Problem 53E

(choose chapter or problem)

Problem 53E

Determine whether the following matrix products are defined. When the product is defined, give the size of the product.

a) AB and BA, where A is (2 × 3) and B is (3 × 4)

b) AB and BA, where A is (2 × 3) and B is (2 × 4)

c) AB and BA, where A is (3 × 7) and B is (6 × 3)

d) AB and BA, where A is (2 × 3) and B is (3 × 2)

e) AB and BA, where A is (3 × 3) and B is (3 × 1)

f) A(BC) and (AB)C, where A is (2 × 3) B is (3 × 5), and C is (5 × 4)

g) AB and BA, where A is (4 × 1) and B is(1 × 4)