5.1: Eigenvectors and Eigenvalues a) The eigenvalues are 0 and -3. Compute and sketch the two eigenspaces. b) On the sam
Posted: Mon Apr 11, 2022 6:04 am
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.
1. Let A A-(-3 , . 3 9 -2 -6
- 5 1 Eigenvectors And Eigenvalues A The Eigenvalues Are 0 And 3 Compute And Sketch The Two Eigenspaces B On The Sam 1 (6.15 KiB) Viewed 43 times
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.
1. Let A A-(-3 , . 3 9 -2 -6