The matrix A = -4 00 0 –4 0 1 0 -3 has two real eigenvalues, λ₁ = -4 of multiplicity 2, and X₂ = -3 of multiplicity 1. Find an orthonormal basis for the eigenspace corresponding to X₁. X2
The matrix A = -4 00 0 –4 0 1 0 -3 has two real eigenvalues, λ₁ = -4 of multiplicity 2, and X₂ = -3 of multiplicity 1. Find an orthonormal basis for the eigenspace corresponding to X₁. X2
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![The matrix
A =
-4
0
0
0
-4
0
1 0 -3
has two real eigenvalues, X₁ = -4 of multiplicity 2,
and X₂ = -3 of multiplicity 1. Find an orthonormal
X2
basis for the eigenspace corresponding to X₁.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48da692c-3eae-49db-b2f1-6aeb7d4c0589%2F90fb4173-a07e-459c-82cd-43a6f03f7d85%2F64genf5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The matrix
A =
-4
0
0
0
-4
0
1 0 -3
has two real eigenvalues, X₁ = -4 of multiplicity 2,
and X₂ = -3 of multiplicity 1. Find an orthonormal
X2
basis for the eigenspace corresponding to X₁.
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