5. Inverses and Determinants

Determinants Of Small Matrices — Quiz

Test your understanding of determinants of small matrices with 5 practice questions.

Practice Questions

Question 1

What is the determinant of the $2\times2$ matrix $\begin{pmatrix}2&3\\4&5\end{pmatrix}$?

Question 2

What is the determinant of the diagonal matrix $\begin{pmatrix}1&0&0\\0&2&0\\0&0&3\end{pmatrix}$?

Question 3

What is the determinant of any matrix that has two identical rows?

Question 4

If the determinant of a matrix is $5$ and one row is multiplied by $2$, what is the new determinant?

Question 5

What is the determinant of the $2\times2$ matrix $\begin{pmatrix}1&2\\3&4\end{pmatrix}$?