Question

Event A: Order of matrix A is 3 × 5.

Event B: Order of matrix B is 5 × 3.

Event C: Order of matrix C is 3 × 3.

Product of which two matrices gives a square matrix.

विकल्प

• AB and AC

• AB and BC

• BA and BC

• AB and BA

Answer 1

AB and BA

Explanation:

Given A is a matrix of order 3 × 5

B is a matrix of order 5 × 3

And C is a matrix of order 3 × 3

AB exists

∵ No. of columns in A

= No. of rows in B = 5

∴ AB is a square matrix of order 3 × 3

And BA is a square matrix of order 5 × 5