This lesson includes 10 additional questions for subscribers.
Lesson Worksheet: Eigenvalues and Eigenvectors Mathematics
In this worksheet, we will practice finding the eigenvalues of a matrix and the corresponding eigenvectors of a matrix.
Q1:
Calculate the eigenvalues of the matrix
Q2:
Calculate the eigenvalues of the matrix
- A1, 3, and 3
- B, 1, and 2
- C, , and 3
- D, 2, and 3
- E1 and 2
Q3:
Calculate the eigenvalues of the matrix
- A and
- B and
- C3 and 6
- D and
- E and
Q4:
Consider the matrix
Calculate the three eigenvalues , , and of .
- A, , and
- B, , and
- C, , and
- D, , and
- E, , and
Which of the vectors , , and are corresponding eigenvectors for , , and ?
- A, , and
- B, , and
- C, , and
- D, , and
- E, , and