5. Inverses and Determinants

Finding Inverses By Row Reduction — Quiz

Test your understanding of finding inverses by row reduction with 5 practice questions.

Practice Questions

Question 1

When using row reduction to find the inverse of a square matrix $A$, what matrix is placed to the right of $A$?

Question 2

If row reduction turns $[A \mid I]$ into $[I \mid B]$, what is $B$?

Question 3

A $2\times 2$ matrix row-reduces to $\begin{pmatrix}1&0\\0&0\end{pmatrix}$. What does this tell you?

Question 4

What is the inverse of $\begin{pmatrix}2&0\\0&3\end{pmatrix}$?

Question 5

What is the inverse of $\begin{pmatrix}1&2\\0&1\end{pmatrix}$?