Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A2=-3, A3=5, and A4 = -5. Use the following method to find det (A).IfSo, on setting λ = 0, we obtain thatdet (A) =i+ Cnp(A) = det (Al-A) = \" + C₁^^¯¹ +...det (-A) = C, or det (A) = (-1)^cn

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Answered: Suppose that a 4 x 4 matrix A has…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A2=-3, A3=5, and A4 = -5. Use the following method to find det (A). If So, on setting λ = 0, we obtain that det (A) = i + Cn p(A) = det (Al-A) = \" + C₁^^¯¹ +... det (-A) = C, or det (A) = (-1)^cn