10. Systems of Differential Equations

Eigenvalues And Eigenvectors — Quiz

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

Practice Questions

Question 1

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

Question 2

What is one eigenvalue of $A=\begin{pmatrix}2&0\\0&5\end{pmatrix}$?

Question 3

Which vector is an eigenvector of $A=\begin{pmatrix}2&0\\0&5\end{pmatrix}$ for the eigenvalue $2$?

Question 4

What equation is used to find the eigenvalues of a matrix $A$?

Question 5

If $Av=0$ for a nonzero vector $v$, what is the corresponding eigenvalue?