4. Functions Involving Parameters, Vectors, and Matrices

Linear Transformations And Matrices — Quiz

Test your understanding of linear transformations and matrices with 5 practice questions.

Practice Questions

Question 1

What is a linear transformation?

Question 2

Which matrix represents the transformation $T(x,y)=(2x,3y)$?

Question 3

What is $T(1,4)$ for the transformation $T(x,y)=(x+2y,\,y)$?

Question 4

Which of the following is a standard basis vector in $\mathbb{R}^2$?

Question 5

If a transformation is represented by the matrix $\begin{pmatrix}1&0\\0&1\end{pmatrix}$, what does it do to a vector?