Question

If the order of matrices A and B are 3 × 2 and 2 × 3 respectively, then the order of BA will be ______.

पर्याय

• 2 × 2

• 2 × 3

• 3 × 2

• 3 × 3

Answer 1

If the order of matrices A and B are 3 × 2 and 2 × 3 respectively, then the order of BA will be 2 × 2.

Explanation:

To multiply two matrices:

If B_{(m × n)} . A_{(p × q)} is defined, then n = p

B = 2 × 3

A = 3 × 2

Since the number of columns in B = the number of rows in A (both are 3), multiplication BA is possible.

When multiplication is possible, the result has order:

(rows of B) × (columns of A) = 2 × 2