Find the 2x2 matrix B given its eigenvalues ₁-1 and 2=3 and the corresponding eigenvectors v₁=(-1,1) and v₂=(-5,1) 7, respectively. OA OB. OC. D. O E. B= B= B= B= B= -10 1 0 -5 4 1 -2 4 5 -1-2 5 4 - 1 1 -5 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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Find the 2x2 matrix B given its eigenvalues ₁=1 and 2=3 and the corresponding eigenvectors v₁=(-1,1) and v₂=(-5,1) 7,
respectively.
OA
OB.
OC.
D.
O E.
B=
B=
B=
B=
B=
-10
1 0
-5 4
1 -2
4 5
-1-2
5
4
- -2
1
-5
1
Transcribed Image Text:Find the 2x2 matrix B given its eigenvalues ₁=1 and 2=3 and the corresponding eigenvectors v₁=(-1,1) and v₂=(-5,1) 7, respectively. OA OB. OC. D. O E. B= B= B= B= B= -10 1 0 -5 4 1 -2 4 5 -1-2 5 4 - -2 1 -5 1
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