Practice problem
Find the inverse (A−1A^{-1}A−1) for matrix AAA:
A=[62−126]A = \begin{bmatrix} 6 & 2 \\ -12 & 6 \end{bmatrix}A=[6−1226]
A−1=[110−13015110]A^{-1} = \begin{bmatrix} \frac{1}{10} & -\frac{1}{30} \\ \frac{1}{5} & \frac{1}{10} \end{bmatrix}A−1=[10151−301101]
A−1=[6−2126]A^{-1} = \begin{bmatrix} 6 & -2 \\ 12 & 6 \end{bmatrix}A−1=[612−26]
A−1=[−130110110315]A^{-1} = \begin{bmatrix} -\frac{1}{30} & \frac{1}{10}\\ \frac{1}{10} & \frac{3}{15} \end{bmatrix}A−1=[−301101101153]
A−1=[130−110−110−315]A^{-1} = \begin{bmatrix} \frac{1}{30} & -\frac{1}{10}\\ -\frac{1}{10} & -\frac{3}{15} \end{bmatrix}A−1=[301−101−101−153]
No Inverse
Type a concept, like “slope” or “photosynthesis”.