Determine which of the indicated column vectors K are eigenvectors of the given matrix A by reporting the corresponding eigenvalue (if a column vector K is not an eigenvector of A, then enter NONE). -0₁ 1 K₁= K₂= -4 A₁ = (4) K3 = ^₂= -1 (₁ 1 1 A3 = 1-2 2 1-2 2 1 A = -2 2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
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Determine which of the indicated column vectors K are eigenvectors of the given matrix A by reporting the corresponding eigenvalue (if a column vector K is not
an eigenvector of A, then enter NONE).
0
--A
K₁ =
1
K₂
=
K3 =
4
3
-4 ^₂ =
0
1
A₁ =
1
A3 =
1 - 2
2
1-2
2
1
A = -2
2
N
Transcribed Image Text:Determine which of the indicated column vectors K are eigenvectors of the given matrix A by reporting the corresponding eigenvalue (if a column vector K is not an eigenvector of A, then enter NONE). 0 --A K₁ = 1 K₂ = K3 = 4 3 -4 ^₂ = 0 1 A₁ = 1 A3 = 1 - 2 2 1-2 2 1 A = -2 2 N
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