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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 ______.
Options
m = – 5 and n = – 2
m = 5 and n = 2
m = 5 and n = – 2
m = 2 and n = 5
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Solution
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
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