Find the 2x2 matrix B given its eigenvalues ₁=1 and ₁=3 and the corresponding eigenvectors v₁=(-1,1) and v₂=(-5,1), respectively. OA OB. Oc B= O E. B = B= O D. B= B= -1-5 1 10 -5 4 -1 5 5

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 75E
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Find the 2x2 matrix B given its eigenvalues ₁= -1 and ₁=3 and the corresponding eigenvectors v₁=(-1,1) and v₂=(-5,1), respectively.
O A.
O B.
Ос.
O D.
O E.
B=
B=
B=
B=
B =
1 1
1 0
-5 4
1 -2
4 5
-1 -2
5 4
-1 -2
Transcribed Image Text:Find the 2x2 matrix B given its eigenvalues ₁= -1 and ₁=3 and the corresponding eigenvectors v₁=(-1,1) and v₂=(-5,1), respectively. O A. O B. Ос. O D. O E. B= B= B= B= B = 1 1 1 0 -5 4 1 -2 4 5 -1 -2 5 4 -1 -2
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