5. Inverses and Determinants

Using Determinants To Test Invertibility — Quiz

Test your understanding of using determinants to test invertibility with 5 practice questions.

Practice Questions

Question 1

What does it mean if a square matrix has determinant $5$?

Question 2

What can you conclude about a square matrix if its determinant is $0$?

Question 3

Which determinant value guarantees that a square matrix is invertible?

Question 4

Find the determinant of the matrix $\begin{pmatrix}1 & 2 \\ 3 & 4\end{pmatrix}$ and decide whether it is invertible.

Question 5

What is the determinant of the matrix $\begin{pmatrix}1 & 2 \\ 2 & 4\end{pmatrix}$?