Q.3) Consider the 2 x 2 matrix (3³) -6 A = Calculate all eigenvalues; Calculate all associated eigenvectors; • If A = UDU-¹ where D is a diagonal matrix, find U, D and U-1. Use this result to calculate A100

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
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Q.3)
Consider the 2 x 2 matrix
A =
Calculate all eigenvalues;
Calculate all associated eigenvectors;
2 3
3
-6
• If A = UDU-¹ where D is a diagonal matrix, find U, D and U-¹. Use this result to calculate
A100
Transcribed Image Text:Q.3) Consider the 2 x 2 matrix A = Calculate all eigenvalues; Calculate all associated eigenvectors; 2 3 3 -6 • If A = UDU-¹ where D is a diagonal matrix, find U, D and U-¹. Use this result to calculate A100
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