A = | 3 -1 3 0 1] 2 2.
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 26EQ
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Only help with #6 a and b
![In Exercises 1-12, compute (a) the characteristic polynomial
of A, (b) the eigenvalues of A, (c) a basis for each eigenspace
of A, and (d) the algebraic and geometric multiplicity of
each eigenvalue.
1 3
2 1
1. A =
2
2. A =
6.
0 1
4. A = |0 1
1
1
3. А %3D | 0 —2 1
0 3_
[i 1 0]
1
6. A =| 3
1 1]
5. A =
-1
-1
1
-1 3
2
0 1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb88a591-bb84-4ad5-a9d9-9dd6e5ab413a%2Fcfe0e846-8b1c-4bf0-aeaf-b8f79ea4ece6%2F0rg0u0d_processed.png&w=3840&q=75)
Transcribed Image Text:In Exercises 1-12, compute (a) the characteristic polynomial
of A, (b) the eigenvalues of A, (c) a basis for each eigenspace
of A, and (d) the algebraic and geometric multiplicity of
each eigenvalue.
1 3
2 1
1. A =
2
2. A =
6.
0 1
4. A = |0 1
1
1
3. А %3D | 0 —2 1
0 3_
[i 1 0]
1
6. A =| 3
1 1]
5. A =
-1
-1
1
-1 3
2
0 1]
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