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Question
Adjoint of each of the matrices `[(1, 2),(3, 4)]` is
Options
`[(4, -2),(-3, 1)]`
`[(1, 2),(3, 4)]`
`[(-3, -4),(-1, -2)]`
Zero
MCQ
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Solution
`[(4, -2),(-3, 1)]`
Explanation:
Let A = `[(4, -2),(-3, 1)]`
Since cofactor of `a_(ij)` is Ai = `(-1)^(i + 1)M_(Li)`
Then, A12 = 4, A2 = – 3, A21 = – 2, A22 = 1
Adj A = `[(A_11, A_21),(A_12, A_22)] = [(4, -2),(-3, 1)]`
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Adjoint of a Matrix
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