Given matrix A and its first two eigenpairs:A=22 a bc6de f -4-1Lax-[A]λ₁ = 3, X₁2₂=-3, X₂=¡1.2.3.4.Complete the elements of Matrix A.Solve for p(2) = det(A-2)Find the third eigenpair of Matrix A.What is the algebraic multiplicity Mand geometric multiplicity m anddefect ^ ?

Answered: Image /qna-images/answer/bbcfc27d-c80b-4b7f-a6a2-e8d073e2dd91.jpg

Answered: Given matrix A and its first two…

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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Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are - 10, 2, and - 2. - 4 - 4 - 2 A = - 4 -2 - 4 2 -4 - 4 Enter the matrices P and D below. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)
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3. Find the Eigen value of the following matrix: (3 1 1) B = (2 4 2 \1 1 3/
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Solve the following system of equations for T1 and T2 using (a) matrix algebra method and (b) Cramer’s rule.0.8 T1 = 0.6 T20.6 T1 + 0.8 T2 = 100.
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