6. Linear Algebra

Eigenvalues And Eigenvectors Basics — Quiz

Test your understanding of eigenvalues and eigenvectors basics with 5 practice questions.

Practice Questions

Question 1

Which statement best describes an eigenvector of a matrix $A$?

Question 2

For the identity matrix $I$, what is the eigenvalue associated with any nonzero eigenvector?

Question 3

For $A=\begin{bmatrix}4&0\\0&7\end{bmatrix}$, what is the eigenvalue associated with $\begin{bmatrix}1\\0\end{bmatrix}$?

Question 4

How are the eigenvalues of a square matrix $A$ found?

Question 5

What does it mean if $0$ is an eigenvalue of a matrix $A$?