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Math 105 - 4

Quiz 6
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Name \rule{5.in}{.3pt}

\[
A=\left[ \begin{array}{rrr}
2 & 2 & 4 \\
2 & 4 & -3 \\
3 & 6 & -5 \\
\end{array} \right]\hspace{.5in}
B= \left[ \begin{array}{rrr}
2 & -1 & 0 \\
3 & 4 & -2 \\
\end{array} \right]
\hspace{.5in}
C= \left[ \begin{array}{rr}
2 & 3 \\
1 &-5 \\
\end{array} \right]
\]

Find the following (if possible).  If not possible, say why not.

\begin{enumerate}

\item  $AB$
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\item  $BA$
\vspace{1.5in}

\item  $AC$
\vspace{1.5in}

\item  $CB$
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\item  $A^{-1}$
\vspace{1in}

\item  $B^{-1}$
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\item  $C^{-1}$
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\item  $\mbox{det}(A)$
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\item  $\mbox{det}(B)$
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\item  $\mbox{det}(C)$




\end{enumerate}


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