Q1: What is the determinant of the map $f: \mathbb{R} \rightarrow \mathbb{R}$ given by $f(x) = 3x$.

A1: $3$

A2: $0$

A3: $x$

A4: $x-3$

A5: It’s not defined!

Q2: What is the determinant of the map $f: \mathbb{R} \rightarrow \mathbb{R}$ given by $f(x) = x^2$.

A1: $3$

A2: $0$

A3: $x$

A4: $x-3$

A5: It’s not defined!

Q3: Let $f,g: \mathbb{R}^n \rightarrow \mathbb{R}^n$ be linear maps with $\det(f) = -5$ and $\det(g) = -2$. What is the determinant of $f \circ g$?

A1: 10

A2: 4

A3: -2

A4: -5

A5: 0

A6: One needs more information.