Question

If A = `[(2, -1, 3),(-4, 5, 1)]` and B = `[(2, 3),(4, -2),(1, 5)]`, then ______.

Options

• Only AB is defined

• Only BA is defined

• AB and BA both are defined

• AB and BA both are not defined.

Answer 1

If A = `[(2, -1, 3),(-4, 5, 1)]` and B = `[(2, 3),(4, -2),(1, 5)]`, then AB and BA both are defined.

Explanation:

Let A = [a_ij]_2×3 B = [b_ij]_3×2 .

Both AB and BA are defined.