4. Functions Involving Parameters, Vectors, and Matrices

Matrices As Functions — Quiz

Test your understanding of matrices as functions with 5 practice questions.

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Practice Questions

Question 1

In the context of matrices as functions, what does a matrix most directly do to an input vector?

Question 2

Let $A=\begin{pmatrix}1&2\\3&4\end{pmatrix}$ and $\mathbf{v}=\begin{pmatrix}5\\6\end{pmatrix}$. What is $A\mathbf{v}$?

Question 3

Which matrix represents the identity function on vectors?

Question 4

A matrix function sends an input vector in $\mathbb{R}^2$ to an output vector. Which description best matches a matrix that rotates every vector $90^\circ$ counterclockwise?

Question 5

If $A$ is a matrix and $\mathbf{0}$ is the zero vector, what is always true about $A\mathbf{0}$?