2x2 Matrix Inverse

Question

The 2×2 matrix $$A$$ is shown in the table. What is the inverse matrix, $$A^{-1}$$?

|      | Column 1 | Column 2 |
|------|----------|----------|
| Row 1| 2        | 3        |
| Row 2| 1        | 4        |

Accepted Answer

$$\frac{1}{5}\begin{pmatrix} 4 & -3 \ -1 & 2 \end{pmatrix}$$

Answer

$$\frac{1}{5}\begin{pmatrix} 2 & -3 \ -1 & 4 \end{pmatrix}$$

Answer

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

Answer

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

Question Leaderboard