If 2 is one of the eigen vector of a matrix A = |1 ] A3x3 has three distinct eigen values then which of th another eigen vector of matrix A?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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3 -1 0
If 2 is one of the eigen vector ofa matrix A =-1
2 -1 and
-1
3
A3x3 has three distinct eigen values then which of the following can be
another eigen vector of matrix A?
A) [1 0 2]T
B) [1 –1 1]T
C) [0 2 –1]T
D) [0 1 0]T
Transcribed Image Text:3 -1 0 If 2 is one of the eigen vector ofa matrix A =-1 2 -1 and -1 3 A3x3 has three distinct eigen values then which of the following can be another eigen vector of matrix A? A) [1 0 2]T B) [1 –1 1]T C) [0 2 –1]T D) [0 1 0]T
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