Let A be a matrix with only two eigenvalues. It is known that: λ = 2-i has two vectors 1 and 2-i that are eigenvectors corresponding to λ = 2 - i. 0 2 A = 1-i has one vectors 4-i that are eigenvectors corresponding to λ = 1-i. 3-i 1) Find three other distinct eigenvectors that also correspond to λ = 2-i:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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Let A be a matrix with only two eigenvalues. It is known that:
λ = 2-i has two vectors 1 and 2-i that are eigenvectors corresponding to λ = 2-i.
0-9
2
λ = 1-i has one vectors 4-i that are eigenvectors corresponding to λ = 1 - i.
3-i]
1) Find three other distinct eigenvectors that also correspond to λ = 2 - i:
Transcribed Image Text:Let A be a matrix with only two eigenvalues. It is known that: λ = 2-i has two vectors 1 and 2-i that are eigenvectors corresponding to λ = 2-i. 0-9 2 λ = 1-i has one vectors 4-i that are eigenvectors corresponding to λ = 1 - i. 3-i] 1) Find three other distinct eigenvectors that also correspond to λ = 2 - i:
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