3 Let v₁ = -3 and v2 = 2 be eigenvectors of the matrix A which correspond to the eigenvalues X1 1 0 Let v = -4v₁ + 2v₂. Find Av. -4 and X₂ = 2.

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.CR: Chapter 10 Review
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Question
3
Let v₁ =
-3 and v2 =
2 be eigenvectors of the matrix A which correspond to the eigenvalues X1
1
0
Let v = -4v₁ + 2v₂. Find Av.
Av=
-4 and X₂
= 2.
Transcribed Image Text:3 Let v₁ = -3 and v2 = 2 be eigenvectors of the matrix A which correspond to the eigenvalues X1 1 0 Let v = -4v₁ + 2v₂. Find Av. Av= -4 and X₂ = 2.
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