For the following matrix, one of the eigenvalues is repeated. 22 3 A10-4 -9 0 -2 -1 (a) What is the repeated eigenvalue Number and what is the multiplicity of this eigenvalue Number (b) Enter a basis for the eigenspace associated with the repeated eigenvalue For example, if your basis is {(1,2,3), (3,4,5)}, you would enter [1,2,3], [3,4,5] (c) What is the dimension of this eigenspace? Number ?

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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For the following matrix, one of the eigenvalues is repeated.
22 3
0 -4 -9
0 -2 -1
A1
(a) What is the repeated eigenvalue Number and what is the multiplicity of this eigenvalue Number ?
(b) Enter a basis for the eigenspace associated with the repeated eigenvalue For example, if your basis is {(1,2,3), (3,4,5)}, you would enter [1,2,3],
[3,4,5]
(c) What is the dimension of this eigenspace?
Number
(d) Is the matrix diagonalisable?
True
False
Transcribed Image Text:For the following matrix, one of the eigenvalues is repeated. 22 3 0 -4 -9 0 -2 -1 A1 (a) What is the repeated eigenvalue Number and what is the multiplicity of this eigenvalue Number ? (b) Enter a basis for the eigenspace associated with the repeated eigenvalue For example, if your basis is {(1,2,3), (3,4,5)}, you would enter [1,2,3], [3,4,5] (c) What is the dimension of this eigenspace? Number (d) Is the matrix diagonalisable? True False
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