alleryEigenvalues of A = [[3,1],[2,4]]:
A1 and 4
B2 and 5 (sum = 7 = trace, product = 10 = det)
C3 and 4
D6 and 1
Answer & Solution
Correct answer: B. 2 and 5 (sum = 7 = trace, product = 10 = det)
Roots of λ² - 7λ + 10 = 0: λ = (7 ± sqrt(49 - 40))/2 = (7 ± 3)/2 = 5, 2. Sum = trace = 7. Product = det = 10.
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