APFIVE 2x2 Matrix Inverse
Given the 2×2 matrix A represented in the table above, find its inverse $$A^{-1}$$.
| Column 1 | Column 2 | |
|---|---|---|
| Row 1 | 2 | 3 |
| Row 2 | 1 | 4 |
A
$$\frac{1}{5}\begin{pmatrix} 2 & -3 \\ -1 & 4 \end{pmatrix}$$
B
$$\frac{1}{2}\begin{pmatrix} 4 & -3 \\ -1 & 2 \end{pmatrix}$$
C
$$\frac{1}{5}\begin{pmatrix} 4 & -3 \\ -1 & 2 \end{pmatrix}$$
D
$$\begin{pmatrix} 4 & -3 \\ -1 & 2 \end{pmatrix}$$
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