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Question
If A = `[(1, 1, -1), (1, -2, 1), (2, -1, -3)]`, then (adj A)A = ______
Options
`[(9, 0, 0), (0, 9, 0), (0, 0, 9)]`
`[(-11, 0, 0), (0, -11, 0), (0, 0, -11)]`
`[(17, 0, 0), (0, 17, 0), (0, 0, 17)]`
`[(-7, 0, 0), (0, -7, 0), (0, 0, -7)]`
MCQ
Fill in the Blanks
Solution
If A = `[(1, 1, -1), (1, -2, 1), (2, -1, -3)]`, then (adj A)A = `underline([(9, 0, 0), (0, 9, 0), (0, 0, 9)])`
Explanation:
(adj A)A = |A| In
= `[(1, 1, -1), (1, -2, 1), (2, -1, -3)] [(1, 0, 0), (0, 1, 0), (0, 0, 1)]`
= `9[(1, 0, 0), (0, 1, 0), (0, 0, 1)]`
= `[(9, 0, 0), (0, 9, 0), (0, 0, 9)]`
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