4. Topic 4(COLON) Matrices and Linear Systems

Lesson 4.3: Matrices As Linear Transformations — Quiz

Test your understanding of lesson 4.3: matrices as linear transformations with 5 practice questions.

Practice Questions

Question 1

What is the matrix representation of a counter-clockwise rotation by $90$ degrees in the plane?

Question 2

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

Question 3

If a transformation matrix is given by $\begin{pmatrix} 1 & 0 \\ 0 & k \end{pmatrix}$, what type of transformation does it represent when $k > 1$?

Question 4

What do we call points that remain fixed in a transformation?

Question 5

What is the form of the matrix that represents a reflection across the x-axis?