Question

If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.

विकल्प

• m = – 5 and n = – 2

• m = 5 and n = 2

• m = 5 and n = – 2

• m = 2 and n = 5

Answer 1

If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are m = 5 and n = 2.

Explanation:

Given A is a matrix of order m × 3

And B is a matrix of order 3 × 2

∴ AB is a matrix of order m × 2

and R is a matrix of order 5 × n

Since AB = R

∴ m = 5 and n = 2