The unit vectors x in R2 and their images Ax under the action of a 2 x 2 matrix A are drawn head-to-tail, as in the figure below. Q Estimate the eigenvectors and eigenvalues of A from the "eigenpicture." 2 O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 1 has the eigenspace span O The eigenvalue 0 has the eigenspace span 0 0 0 and the eigenvalue 1 has the eigenspace span ¹([1]). (-1)) and the eigenvalue 1 has the eigenspace span ((-1)) and the eigenvalue √2 has the eigenspace span ([1]) and the eigenvalue 2√2 has the eigenspace span ([³]). and the eigenvalue √2 has the eigenspace span an([ - ]). ([³]). ([1]). ([1]). ([ -1]).
The unit vectors x in R2 and their images Ax under the action of a 2 x 2 matrix A are drawn head-to-tail, as in the figure below. Q Estimate the eigenvectors and eigenvalues of A from the "eigenpicture." 2 O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 1 has the eigenspace span O The eigenvalue 0 has the eigenspace span 0 0 0 and the eigenvalue 1 has the eigenspace span ¹([1]). (-1)) and the eigenvalue 1 has the eigenspace span ((-1)) and the eigenvalue √2 has the eigenspace span ([1]) and the eigenvalue 2√2 has the eigenspace span ([³]). and the eigenvalue √2 has the eigenspace span an([ - ]). ([³]). ([1]). ([1]). ([ -1]).
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
Related questions
Question
![The unit vectors x in R2 and their images Ax under the action of a 2 x 2 matrix A are drawn head-to-tail, as in the figure below.
Q
Estimate the eigenvectors and eigenvalues of A from the "eigenpicture."
2
O The eigenvalue 0 has the eigenspace span
O The eigenvalue 0 has the eigenspace span
O The eigenvalue 0 has the eigenspace span
O The eigenvalue 1 has the eigenspace span
O The eigenvalue 0 has the eigenspace span
and the eigenvalue 1 has the eigenspace span
¹([1]).
(-1))
and the eigenvalue 1 has the eigenspace span
((-1)) and the eigenvalue √2 has the eigenspace span
(([-1])
([1]);
and the eigenvalue 2√2 has the eigenspace span
and the eigenvalue √2 has the eigenspace span
an([ - ]).
([³]).
([1]).
([1]).
([ -1]).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96179140-ed94-42a5-b023-b8f4ee7d08b1%2F17e6a0d1-f4d4-4a63-8a69-a5406329ce94%2Fqdjq5n_processed.png&w=3840&q=75)
Transcribed Image Text:The unit vectors x in R2 and their images Ax under the action of a 2 x 2 matrix A are drawn head-to-tail, as in the figure below.
Q
Estimate the eigenvectors and eigenvalues of A from the "eigenpicture."
2
O The eigenvalue 0 has the eigenspace span
O The eigenvalue 0 has the eigenspace span
O The eigenvalue 0 has the eigenspace span
O The eigenvalue 1 has the eigenspace span
O The eigenvalue 0 has the eigenspace span
and the eigenvalue 1 has the eigenspace span
¹([1]).
(-1))
and the eigenvalue 1 has the eigenspace span
((-1)) and the eigenvalue √2 has the eigenspace span
(([-1])
([1]);
and the eigenvalue 2√2 has the eigenspace span
and the eigenvalue √2 has the eigenspace span
an([ - ]).
([³]).
([1]).
([1]).
([ -1]).
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