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Question
If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible:
Options
A + B
A – B
AB
BA
Solution
AB
Explanation:
Given A is a matrix of order 2 × 2
And B is a matrix of order 2 × 1
Since, No. of columns in B ≠ No. of rows in A
`\implies` BA does not exists.
Further, A + B and A – B does not exists
Since, A and B are not of the same order
Since, No. of columns in A
= No. of rows in B = 2
`\implies` AB exists
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