Worksheet: Eigenvectors of a Matrix
In this worksheet, we will practice determining the linearly independent eigenvectors of a nonzero square matrix associated with the eigenvalues of the matrix.
Suppose one eigenvalue of a real matrix is and the corresponding eigenvector is Which of the following must also be an eigenpair of ?
- A and
- B and
- C and
- D and
Suppose that is an eigenvector of a matrix corresponding to a nonzero eigenvalue . Is always solvable?