3 4 [1 1 0 3 -1 4 Let A = 00 2 2 0 0 1 3 Refer to the matrix above and answer the following questions. Detailed solutions must be presented on your solution paper and enter only final answer or you may attach your scanned solution on the text box provided. A) Find all real eigenvalues of A, and give their algebraic multiplicities, if it exists. B) Find the geometric multiplicity of each eigenvalue. (If you are able to determine this without computing the corresponding eigenspace, please do, and explain your reasoning.) C) Find the eigenbasis for matrix A.
3 4 [1 1 0 3 -1 4 Let A = 00 2 2 0 0 1 3 Refer to the matrix above and answer the following questions. Detailed solutions must be presented on your solution paper and enter only final answer or you may attach your scanned solution on the text box provided. A) Find all real eigenvalues of A, and give their algebraic multiplicities, if it exists. B) Find the geometric multiplicity of each eigenvalue. (If you are able to determine this without computing the corresponding eigenspace, please do, and explain your reasoning.) C) Find the eigenbasis for matrix A.
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 35EQ
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Please answer A B and C thoroughly in step by step solution. Thank you
Transcribed Image Text:1
1
3
Let A =
-1 4
2 2
00
0
0 1 3
Refer to the matrix above and answer the following questions. Detailed solutions must be presented on your
solution paper and enter only final answer or you may attach your scanned solution on the text box provided.
A) Find all real eigenvalues of A, and give their algebraic multiplicities, if it exists.
B) Find the geometric multiplicity of each eigenvalue. (If you are able to determine this without computing the
corresponding eigenspace, please do, and explain your reasoning.)
C) Find the eigenbasis for matrix A.
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