11. Eigenvalues and Eigenvectors

Analyzing Structure Of Matrices — Quiz

Test your understanding of analyzing structure of matrices with 5 practice questions.

Practice Questions

Question 1

For the diagonal matrix $A=\begin{pmatrix}3&0\\0&-2\end{pmatrix}$, what are its eigenvalues?

Question 2

What are the eigenvalues of the upper triangular matrix $B=\begin{pmatrix}1&4&-1\\0&5&2\\0&0&-3\end{pmatrix}$?

Question 3

What is the only eigenvalue of the identity matrix $I_n$?

Question 4

What is the only eigenvalue of the zero matrix $0_n$?

Question 5

If $A$ is a real symmetric matrix, what can be said about its eigenvalues?