11. Eigenvalues and Eigenvectors

Characteristic Equation — Quiz

Test your understanding of characteristic equation with 5 practice questions.

Practice Questions

Question 1

What is the characteristic equation of a square matrix $A$?

Question 2

For $A=\begin{pmatrix}2&0\\0&5\end{pmatrix}$, what is the characteristic equation?

Question 3

For $A=\begin{pmatrix}1&0\\0&-2\end{pmatrix}$, what is the characteristic equation?

Question 4

If the characteristic equation is $(\lambda-4)(\lambda+1)=0$, what are the eigenvalues?

Question 5

Starting from $A\mathbf{x}=\lambda\mathbf{x}$, which equation is obtained by moving all terms to one side?