Linear Algebra #3 3.Let A ==4 0110vectors of A are v₁ =-2& maldorg 161Three linearly independent eigen--2 0 1= (-1, 1, 1), V₂ = (–1, 2, 2), and v3 = (0, 1, 0).(a) What are the eigenvalues of A corresponding to V₁, V2, and v3?(b) Use the Diagonalization Theorem to find an invertible matrix Pand a diagonal matrix D so that P-¹AP = D.

Answered: Image /qna-images/answer/5f6ccde1-4eb8-4c06-83d6-000336654100.jpg

3. 401 maldoq sol -2 10 Three linearly independent eigen- -2 0 1 vectors of A are v₁ = (-1, 1, 1), V₂ = (-1, 2, 2), and v3 = (0, 1, 0). Let A = . (a) What are the eigenvalues of A corresponding to v₁, V2, and v3? (b) Use the Diagonalization Theorem to find an invertible matrix P and a diagonal matrix D so that P-¹AP = D.

3. 401 maldoq sol -2 10 Three linearly independent eigen- -2 0 1 vectors of A are v₁ = (-1, 1, 1), V₂ = (-1, 2, 2), and v3 = (0, 1, 0). Let A = . (a) What are the eigenvalues of A corresponding to v₁, V2, and v3? (b) Use the Diagonalization Theorem to find an invertible matrix P and a diagonal matrix D so that P-¹AP = D.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.5: Eigenvalues And Eigenvectors

Problem 11E

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