Suppose T : R² → R² is the linear transformation shown in the figure below. 8 7 6 15 4 3 AL 2 1 1 2 3 4 51 -1 -5 -6 V4 v
Posted: Mon Jul 11, 2022 12:44 pm
- Suppose T R R Is The Linear Transformation Shown In The Figure Below 8 7 6 15 4 3 Al 2 1 1 2 3 4 51 1 5 6 V4 V 1 (161.21 KiB) Viewed 30 times
The vectorv1 corresponds to theeigenvalue____
The vectorv1 corresponds to theeigenvalue____
The vectorv1 corresponds to theeigenvalue____
The vectorv1 corresponds to theeigenvalue____
The vectorv1 corresponds to theeigenvalue____
The vectorv1 corresponds to theeigenvalue____
Which of the following vectors are eigenvectors for the lineartransformation T? Select all correctanswers.
a. [0,0] b. [0,9] c. [-2,2] d. [1,0] e. [6,6]
Which of the following sets is a basis for the eigenspaceE−0.5 ofT?a. [0,1] b. [-1,1] c. [1,1] d. [1,0]
Which of the following sets is a basis for theeigenspace E1.5 of T?
a. [0,1] b. [1,1] c. [1,0] d. [-1,1]
Suppose T : R² → R² is the linear transformation shown in the figure below. 8 7 6 15 4 3 AL 2 1 1 2 3 4 51 -1 -5 -6 V4 v3 * v5 v1 v7 v6 y -7 -8 -8 -7 -6 -5 -4 -3 -2 -1 v2 v8 1 2 3 4 5 6 7 8 X T ↑ COM6 8 7 15 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 -8 T(v6) T(v5) T(V4) T(v7) -8-7 -6 -5 -4 -3 -2 -1 y T(v3) 1 For each of the following vectors, if the vector is an eigenvector for T, determine the corresponding eigenvalue. If the vector is not an eigenvector for T, enter NONE. 2 3 4 5 T(V8) T(v1) T(v2) 6 7 8 X