The matrix A given below has an eigenvalue A = 12. Find a basis of the eigenspace corresponding to this eigenvalue. 12 12 -12 A = 16 -4 12 How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the set of vectors 5 -1 -3 then you should do it as follows: [5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3] Enter a basis of the eigenspace of A corresponding to A = 12:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
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The matrix A given below has an eigenvalue A = 12. Find a basis of the eigenspace corresponding to this eigenvalue.
12
12
-12
A =
16
-4
12
How to enter a set of vectors.
In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas.
For example, if you want to enter the set of vectors
5
2
3
then you should do it as follows:
[5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3]
Enter a basis of the eigenspace of A corresponding to A = 12:
Transcribed Image Text:The matrix A given below has an eigenvalue A = 12. Find a basis of the eigenspace corresponding to this eigenvalue. 12 12 -12 A = 16 -4 12 How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the set of vectors 5 2 3 then you should do it as follows: [5,-1/3, -1], [-3/2, 0, 2], [-1, 1/2, -3] Enter a basis of the eigenspace of A corresponding to A = 12:
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