3. Complex Numbers

Matrices Intro — Quiz

Test your understanding of matrices intro with 5 practice questions.

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Practice Questions

Question 1

Consider the matrix $A = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix}$. What is the adjugate (adjoint) of $A$?

Question 2

Which of the following matrices is the inverse of $A = \begin{pmatrix} 1 & 2 \\ 3 & 5 \end{pmatrix}$?

Question 3

Given the matrices $A = \begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}$ and $B = \begin{pmatrix} 2 & -1 \\ 3 & 4 \end{pmatrix}$, what is the product $AB$?

Question 4

Consider the matrix $A = \begin{pmatrix} 3 & 4 \\ 2 & 1 \end{pmatrix}$. What is the trace of $A$?

Question 5

If a matrix $A = \begin{pmatrix} 5 & 2 \\ 1 & 3 \end{pmatrix}$ represents a linear transformation, what is the determinant of $A$ and what does it imply about the transformation?