Exercise Group 5.1.6.14–21. Finding Inverses.

Find the inverse (if it exists) of each of the matrices \(A\) in Exercise Group 5.1.6.14–21. that is, find the matrix \(A^{-1}\) such that \(A A^{-1} = A^{-1} A = I\text{,}\) where
\begin{equation*} I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}. \end{equation*}
14.
\(\displaystyle A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}\)
15.
\(\displaystyle A = \begin{pmatrix} 6 & 3 \\ -4 & -1 \end{pmatrix}\)
16.
\(\displaystyle A = \begin{pmatrix} 3 & -7 \\ -2 & 5 \end{pmatrix}\)
17.
\(\displaystyle A = \begin{pmatrix} 8 & 7 \\ 2 & 2 \end{pmatrix}\)
18.
\(\displaystyle A = \begin{pmatrix} -3 & 4 \\ -2 & 5 \end{pmatrix}\)
19.
\(\displaystyle A = \begin{pmatrix} 3 & 2 \\ 4 & 3 \end{pmatrix}\)
20.
\(\displaystyle A = \begin{pmatrix} 4 & 0 \\ 0 & -3 \end{pmatrix}\)
21.
\(\displaystyle A = \begin{pmatrix} 1 & 2 \\ -3 & -6 \end{pmatrix}\)
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