Let A be an 5 by 5 matrix, let v₁ be an eigenvector of A with eigenvalue X₁ and let V₂ be an eigenvector of A with eigenvalue X₂. Select all items below that are true. D. For any real number c, cA₁ is also an eigenvalue of A.E. If 0 is an eigenvalue of A, then A is singular.F. If À₁ = №₂, then v₁ + v₂ is an eigenvector of A (as long as it is nonzero).

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Answered: D. For any real number c, cA₁ is also…

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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D. For any real number c, cA₁ is also an eigenvalue of A. E. If 0 is an eigenvalue of A, then A is singular. F. If A₁ A₂, then v₁ +V₂ is an eigenvector of A (as long as it is nonzero).