(See Steps) For each of the following matrices, determine whether or not the inverse exists. If the inverse exists, find it. Show all work. If you think
Question: For each of the following matrices, determine whether or not the inverse exists. If the inverse exists, find it. Show all work. If you think you have a matrix \(B\) that is the inverse of \(A\), check your work by verifying that \(A B=I\)
- \(\left(\begin{array}{ll}2 & 0 \\ 0 & 1\end{array}\right)\)
- \(\quad\left(\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right)\)
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\(\left(\begin{array}{lll}1 & 2 & 0 \\ 1 & 3 & 2 \\ 1 & 3 & 3\end{array}\right)\)
\((d) \quad\left(\begin{array}{lll}2 & 4 & 0 \\ 0 & 1 & 4 \\ 0 & 0 & 2\end{array}\right)\)
(e) \(\left(\begin{array}{cccc}1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & -1\end{array}\right)\)
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