4. Topic 4(COLON) Matrices and Linear Systems

Lesson 4.5: Eigenvalues And Eigenvectors — Quiz

Test your understanding of lesson 4.5: eigenvalues and eigenvectors with 5 practice questions.

Practice Questions

Question 1

What is the eigenvalue equation for a matrix $A$ and vector $v$?

Question 2

If the eigenvalue of a matrix $A$ is $3$, what does this imply about the corresponding eigenvector $v$?

Question 3

What is a characteristic polynomial of a matrix $A$ used to find?

Question 4

If a matrix $A$ has a characteristic equation $\lambda^2 - 5\lambda + 6 = 0$, what are its eigenvalues?

Question 5

What does the eigenvector represent in a transformation described by a matrix $A$?