The matrix 0 A = 0 -1 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue A1 is and a basis for its associated eigenspace is The eigenvalue 12 is and a basis for associated eigenspace is 0 0

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
Problem 24EQ
icon
Related questions
Question
The matrix
-1
A =
-1
-1
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue a1 is
and a basis for its associated eigenspace is
The eigenvalue 12 is
and a basis for its associated eigenspace is
Transcribed Image Text:The matrix -1 A = -1 -1 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue a1 is and a basis for its associated eigenspace is The eigenvalue 12 is and a basis for its associated eigenspace is
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer