Mathematics, 06.02.2021 15:00 iBrain
Suppose that a 4 × 4 matrix A has eigenvalues λ1 = 1, λ2 = − 3, λ3 = 5, and λ4 = − 5. Use the following method to find det (A).
If
p(λ) = det (λI − A) = λn + c1λn − 1 + ⋯ + cn
So, on setting λ = 0, we obtain that
det (− A) = cn or det (A) = (− 1)ncn
det (A) = ?
Answers: 1
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Suppose that a 4 × 4 matrix A has eigenvalues λ1 = 1, λ2 = − 3, λ3 = 5, and λ4 = − 5. Use the follow...
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