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The matrix 4 0 0 12 A = 8 12 12 8 -8 0 -4 has two distinct real eigenvalues A1 <\2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A1 is A and a basis for its associated eigenspace is

The matrix 4 0 0 12 A = 8 12 12 8 -8 0 -4 has two distinct real eigenvalues A1 <\2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A1 is A and a basis for its associated eigenspace is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Chapter 7.2 Question 8

The matrix [ 4 12 A = 8 12 12 8 -8 0 -4 -4 has two distinct real eigenvalues A1< d2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A1 is and a basis for its associated eigenspace is { } The larger eigenvalue A, is and a basis for its associated eigenspace is {
Transcribed Image Text:The matrix [ 4 12 A = 8 12 12 8 -8 0 -4 -4 has two distinct real eigenvalues A1< d2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A1 is and a basis for its associated eigenspace is { } The larger eigenvalue A, is and a basis for its associated eigenspace is {
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