Exercise22.5
- Suppose that \(D\) is a diagonal matrix; i.e., \(D=\diag(d_{11}, d_{22}, \dots, d_{mm})\text{.}\) Show that each \(d_{ii}\) is an eigenvalue of \(D\text{.}\) What are the corresponding eigenvectors?
- Suppose that \(L\) is a lower triangular matrix. Show that each \(l_{ii}\) is an eigenvalue of \(L\text{.}\)