11. Eigenvalues and Eigenvectors

Finding Eigenpairs — Quiz

Test your understanding of finding eigenpairs with 5 practice questions.

Practice Questions

Question 1

Which condition must hold for a pair $(lambda, v)$ to be an eigenpair of a matrix $A$?

Question 2

For $A=\begin{pmatrix}2 & 0 \\ 0 & 3\end{pmatrix}$ and $v=\begin{pmatrix}1\\0\end{pmatrix}$, what is the eigenvalue associated with $v$?

Question 3

For the identity matrix $I_2$ and $v=\begin{pmatrix}4\\-1\end{pmatrix}$, which ordered pair is an eigenpair?

Question 4

Which statement about the zero matrix $O$ is true?

Question 5

For $A=\begin{pmatrix}5&0\\0&-2\end{pmatrix}$ and $v=\begin{pmatrix}0\\3\end{pmatrix}$, what is the eigenvalue associated with $v$?