13 -6 Let D = 0 1 5 Which of the following holds for the eigenvectors of D 0 0 1 E. Every vector in R3 is an eigenvector of D. B. All eigenvectors of D are scalar multiples of (1,0,0)' . Alleigenvectors ofD are scalar multiples (-6 5 1)!

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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13 -6
Let D=| 0 1 5
Which of the following holds for the eigenvectors of D?
0 0
1
E. Every vector in R3 is an eigenvector of D.
B. All eigenvectors of D are scalar multiples of (1,0,0)' .
C. All eigenvectors of D are scalar multiples (-6,5,1).
D. All eigenvectors of D are scalar multiples (1,1,1)'.
A. All eigenvectors of D are scalar multiples of (0,0,1)' .
Transcribed Image Text:13 -6 Let D=| 0 1 5 Which of the following holds for the eigenvectors of D? 0 0 1 E. Every vector in R3 is an eigenvector of D. B. All eigenvectors of D are scalar multiples of (1,0,0)' . C. All eigenvectors of D are scalar multiples (-6,5,1). D. All eigenvectors of D are scalar multiples (1,1,1)'. A. All eigenvectors of D are scalar multiples of (0,0,1)' .
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