alleryFor A = [[3, 1], [2, 4]], characteristic polynomial:
Aλ² + 10
Bλ² - 7λ + 10 (= λ² - (trace)λ + det)
Cλ - 7
Dλ³
Answer & Solution
Correct answer: B. λ² - 7λ + 10 (= λ² - (trace)λ + det)
det(A - λI) = (3 - λ)(4 - λ) - 2 = λ² - 7λ + 12 - 2 = λ² - 7λ + 10. Eigenvalues are roots: λ = 2, 5.
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