Matrix of a Linear Transformation

Question

A linear transformation maps the standard basis vectors $$\begin{pmatrix} 1 \ 0 \end{pmatrix}$$ and $$\begin{pmatrix} 0 \ 1 \end{pmatrix}$$ to $$\begin{pmatrix} 3 \ -2 \end{pmatrix}$$ and $$\begin{pmatrix} 1 \ 4 \end{pmatrix}$$, respectively. What is the matrix for this transformation?

Accepted Answer

$$\begin{pmatrix} 3 & 1 \ -2 & 4 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 1 & 3 \ 4 & -2 \end{pmatrix}$$

Answer

$$\begin{pmatrix} 3 & -2 \ 1 & 4 \end{pmatrix}$$

Answer

$$\begin{pmatrix} -2 & 4 \ 3 & 1 \end{pmatrix}$$

Matrix of a Linear Transformation

Question Leaderboard