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\textbf{Math 228: Intro to Lin Alg \& Diff Eqns}
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\textbf{Quiz 2}\quad \textsl{Jan. 31, 2002}
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In the following problems let $A =
\left[\begin{array}{ccc}
-1&1&0\\
2&-1&0\\
-1&3&1\end{array}\right]$.

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1. Find the inverse of $A$.  Be sure to label the elementary row
operations you perform.

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2. a) Find the $LU$ decomposition of $A$.

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b) Use the $LU$ decomposition of $A$ to solve the system $AX = B$, where 
$B = \left[\begin{array}{c}
-1\\
3\\
2\end{array}\right]$.

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