6. Linear Algebra

Determinants And Inverses — Quiz

Test your understanding of determinants and inverses with 5 practice questions.

Practice Questions

Question 1

What is the determinant of the matrix $\begin{pmatrix}3 & 2 \\ 1 & 4\end{pmatrix}$?

Question 2

When does a square matrix have an inverse?

Question 3

What is the determinant of the identity matrix $I_3$?

Question 4

What is the inverse of the matrix $\begin{pmatrix}2 & 0 \\ 0 & 5\end{pmatrix}$?

Question 5

If $\det(A)= -3$ and $\det(B)=2$, what is $\det(AB)$?