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Question
Given that A = `[(α,β),(γ,-α)]` and A2 = 3I, then:
Options
1 + α2 + βγ = 0
1 − α2 − βγ = 0
3 − α2 − βγ = 0
3 + α2 + βγ = 0
MCQ
Solution
3 − α2 − βγ = 0
Explanation:
A2 = 3I
`[(α^2+βγ,0),(0,βγ+α^2)] = [(3,0),(0,3)]`
3 − α2 − βγ = 0
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