(A) P =(B P =Ⓒ P =(D4491 4 1019[449]1 4 10192 3 21211130and D =and Dand D =400000009[ -4 0 0100 0 |0 0 -9None of the given options.0001090004[210][400]EP = 2 2 1 and D = 0 0 0000313009? Question 2Suppose a matrix A has eigenvalues with eigenvectores as follows21A₁ = 2, X₁ | 1[2-11^₂ = 0, X₂ = 223, - -==−3, X₂=331 ].Then the matrix A² can be written in the form PDP-¹ withⓇ

Answered: Image /qna-images/answer/f4b9c6dc-2a81-4c54-8f35-5f9e41b0abb6.jpg

Answered: Question 2 Suppose a 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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Question 2 Suppose a matrix A has eigenvalues with eigenvectores as follows 21 λ = 2, X, 1 1 [2 = 2 -{] -6 3 -3, X₂ = 3 Then the matrix A2 can be written in the form PDP-¹ with ^₂ = 0, X₂ 3 ?