Name:			Date:
Inverse each Matrix.

1) $\left[\begin{array}{cc}1& -6\\ -3& -2\end{array}\right]$	2) $\left[\begin{array}{cc}2& -5\\ -4& 2\end{array}\right]$
3) $\left[\begin{array}{cc}6& -3\\ -4& 3\end{array}\right]$	4) $\left[\begin{array}{cc}8& -3\\ 9& -2\end{array}\right]$
5) $\left[\begin{array}{cc}-1& -2\\ -3& -4\end{array}\right]$	6) $\left[\begin{array}{cc}6& -3\\ -4& 3\end{array}\right]$
7) $\left[\begin{array}{cc}-2& -3\\ 4& 2\end{array}\right]$	8) $\left[\begin{array}{cc}-6& -4\\ 2& 3\end{array}\right]$
9) $\left[\begin{array}{cc}2& -3\\ -4& 8\end{array}\right]$	10) $\left[\begin{array}{cc}-7& 4\\ 2& 3\end{array}\right]$
11) $\left[\begin{array}{cc}-4& 2\\ -5& 1\end{array}\right]$	12) $\left[\begin{array}{cc}-6& 10\\ -6& 10\end{array}\right]$
13) $\left[\begin{array}{cc}10& -2\\ -3& 4\end{array}\right]$	14) $\left[\begin{array}{cc}-6& 3\\ -7& 2\end{array}\right]$
15) $\left[\begin{array}{cc}-5& 3\\ -4& 2\end{array}\right]$	16) $\left[\begin{array}{cc}4& -3\\ 2& -4\end{array}\right]$
17) $\left[\begin{array}{cc}10& -1\\ 5& -2\end{array}\right]$	18) $\left[\begin{array}{cc}4& -3\\ 2& -4\end{array}\right]$
19) $\left[\begin{array}{cc}-4& -2\\ 10& 2\end{array}\right]$	20) $\left[\begin{array}{cc}-3& 2\\ 4& 2\end{array}\right]$

 

Answers:

1) $\left[\begin{array}{cc}\frac{1}{10}& \frac{-3}{10}\\ \frac{-3}{20}& \frac{-1}{20}\end{array}\right]$	2) $\left[\begin{array}{cc}\frac{-1}{8}& \frac{-5}{16}\\ \frac{-1}{4}& \frac{-1}{8}\end{array}\right]$
3) $\left[\begin{array}{cc}\frac{1}{2}& \frac{1}{2}\\ \frac{2}{3}& 1\end{array}\right]$	4) $\left[\begin{array}{cc}\frac{-2}{11}& \frac{3}{11}\\ \frac{-9}{11}& \frac{8}{11}\end{array}\right]$
5) $\left[\begin{array}{cc}2& -1\\ \frac{-3}{2}& \frac{1}{2}\end{array}\right]$	6) $\left[\begin{array}{cc}\frac{1}{2}& \frac{1}{2}\\ \frac{2}{3}& 1\end{array}\right]$
7) $\left[\begin{array}{cc}\frac{1}{4}& \frac{3}{8}\\ \frac{-1}{2}& \frac{-1}{4}\end{array}\right]$	8) $\left[\begin{array}{cc}\frac{-3}{10}& \frac{-2}{5}\\ \frac{1}{5}& \frac{3}{5}\end{array}\right]$
9) Yes	10) $\left[\begin{array}{cc}\frac{-3}{29}& \frac{4}{29}\\ \frac{2}{29}& \frac{7}{29}\end{array}\right]$
11) $\left[\begin{array}{cc}\frac{1}{6}& \frac{-1}{3}\\ \frac{5}{6}& \frac{-2}{3}\end{array}\right]$	12) no inverse exists
13) Yes	14) $\left[\begin{array}{cc}\frac{2}{9}& \frac{-1}{3}\\ \frac{7}{9}& \frac{-2}{3}\end{array}\right]$
15) $\left[\begin{array}{cc}1& \frac{-3}{2}\\ 2& \frac{-5}{2}\end{array}\right]$	16) $\left[\begin{array}{cc}\frac{2}{5}& \frac{-3}{10}\\ \frac{1}{5}& \frac{-2}{5}\end{array}\right]$
17) $\left[\begin{array}{cc}\frac{2}{25}& \frac{-1}{25}\\ \frac{-1}{5}& \frac{-2}{5}\end{array}\right]$	18) $\left[\begin{array}{cc}\frac{2}{5}& \frac{-3}{10}\\ \frac{1}{5}& \frac{-2}{5}\end{array}\right]$
19) $\left[\begin{array}{cc}\frac{1}{6}& \frac{1}{6}\\ \frac{-5}{6}& \frac{-1}{3}\end{array}\right]$	20) $\left[\begin{array}{cc}\frac{-1}{7}& \frac{1}{7}\\ \frac{2}{7}& \frac{3}{14}\end{array}\right]$