Suppose a student correctly found an eigenvalue, X, of the matrix numbers. 8~[18] 0 (i) What eigenvalue did the student find? [a To find the corresponding eigenvectors, the student row reduced the matrix and got X = 2 a - - 2 b C d - 2 [a b] I (ii) What is a corresponding eigenvector? 81 where a, b, c, d are real - C 2 2 [8].

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 38EQ
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Homework 15:

Question 6

Suppose a student correctly found an eigenvalue, X, of the matrix
numbers.
and got
To find the corresponding eigenvectors, the student row reduced the matrix
1 1 0
[:] ~[]
(i) What eigenvalue did the student find?
λ 2
a 2 b
с d - 20
[a b].
c d
(ii) What is a corresponding eigenvector?
181
where a, b, c, d are real
a 2 b
с
d-2
[8]
Transcribed Image Text:Suppose a student correctly found an eigenvalue, X, of the matrix numbers. and got To find the corresponding eigenvectors, the student row reduced the matrix 1 1 0 [:] ~[] (i) What eigenvalue did the student find? λ 2 a 2 b с d - 20 [a b]. c d (ii) What is a corresponding eigenvector? 181 where a, b, c, d are real a 2 b с d-2 [8]
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