APFIVE Matrix of a Linear Transformation
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?
A
$$\begin{pmatrix} 1 & 3 \\ 4 & -2 \end{pmatrix}$$
B
$$\begin{pmatrix} -2 & 4 \\ 3 & 1 \end{pmatrix}$$
C
$$\begin{pmatrix} 3 & -2 \\ 1 & 4 \end{pmatrix}$$
D
$$\begin{pmatrix} 3 & 1 \\ -2 & 4 \end{pmatrix}$$
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