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Question
If A = `[(2, 2),(4, 5)]` and A–1 = λ(adj(A)), then λ = ______ .
Options
`(-1)/2`
`1/3`
`(-1)/3`
`1/2`
MCQ
Fill in the Blanks
Solution
If A = `[(2, 2),(4, 5)]` and A–1 = λ(adj(A)), then λ = `1/2`.
Explanation:
`|"A"| = |(2, 2),(4, 5)|` = 2 ≠ 0
A–1 = `1/|"A"|` adjA
= λ(adj A) ......[Given]
∴ λ = `1/|"A"| = 1/2`
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