Question

Find each matrix A, find the inverse matrix, A^1, or identify A as a singular matrix

(5 7)
(2 3)

Answer 1

`\begin{pmatrix} a & b \\ c & d \end{pmatrix}^(-1) = (1)/(ad-bc) \begin{pmatrix}{ d & -b \\ -c & a}\end{pmatrix}`

`\begin{pmatrix} 5 & 7 \\ 2 & 3 \end{pmatrix}^(-1) = (1)/(5(3)-2(7))\begin{pmatrix} 3 & -7 \\ -2 & 5 \end{pmatrix}`

Answer:
`\begin{pmatrix} 3 & -7 \\ -2 & 5 \end{pmatrix}`