4. Matrix Algebra

Multiplying Matrices Accurately — Quiz

Test your understanding of multiplying matrices accurately with 5 practice questions.

Practice Questions

Question 1

If $A$ is a $2\times 3$ matrix and $B$ is a $3\times 4$ matrix, what is the size of $AB$?

Question 2

Compute $\begin{bmatrix}2&1\end{bmatrix}\begin{bmatrix}3\\4\end{bmatrix}$.

Question 3

Compute $\begin{bmatrix}1&2\\3&4\end{bmatrix}\begin{bmatrix}2\\1\end{bmatrix}$.

Question 4

Compute $\begin{bmatrix}1&0\\2&-1\end{bmatrix}\begin{bmatrix}3&4\\5&6\end{bmatrix}$.

Question 5

If $I_3$ is the $3\times 3$ identity matrix and $A$ is a $3\times 2$ matrix, what is $I_3A$?