3 1. Let A = 9 -2 -6
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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5.1: Eigenvectors and Eigenvalues
a) The eigenvalues are 0 and -3. Compute and sketch the two eigenspaces.
b) On the same plot, sketch the vector x = [−6 2]T and the vector Ax. What is the action of A on a vector x in the eigenspace for λ = 0?
c) On the same plot, sketch the vector y = [3 −2]T and the vector Ay. What is the action of A on a vector y in the eigenspace for λ = −3?
d) Write one vector z in R2 such that the product Az both scales and rotates the vector z.
Transcribed Image Text:- [3 의
9
1. Let A
-2 -6
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