Use the proof of Theorem 3.2 to obtain the inverse of each of the following elementary
Chapter 3, Problem 3(choose chapter or problem)
Use the proof of Theorem 3.2 to obtain the inverse of each of the following elementary matrices.
(a) \(\left(\begin{array}{lll}
0 & 0 & 1 \\
0 & 1 & 0 \\
1 & 0 & 0
\end{array}\right)\)
(b) \(\left(\begin{array}{lll}
1 & 0 & 0 \\
0 & 3 & 0 \\
0 & 0 & 1
\end{array}\right)\)
(c) \(\left(\begin{array}{rrr}
1 & 0 & 0 \\
0 & 1 & 0 \\
-2 & 0 & 1
\end{array}\right)\)
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