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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.
Options
AB and AC
AB and BC
BA and BC
AB and BA
Solution
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
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