Mathematics
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 values of m and n are :
m = -5 and n = -2
m = 5 and n = 2
m = 5 and n = -2
m = 2 and n = 5
Matrices
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Answer
Given,
AB = R
Am × 3B3 × 2 = R5 × n
We know that,
For matrix multiplication :
No. of columns in A must be equal to the number of rows in B.
Resultant matrix order = No. of rows in A × No. of columns in B.
∴ m = 5 and n = 2.
Hence, Option 2 is the correct option.
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