If \( A=\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right] \) and ...
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If \( A=\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right] \) and \( B=\left[\begin{array}{ccc}-5 & 4 & 0 \\ 0 & 2 & -1 \\ 1 & -3 & 2\end{array}\right] \), then
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(1) \( \mathrm{AB}=\left[\begin{array}{ccc}-5 & 8 & 0 \\ 0 & 4 & -2 \\ 3 & -9 & 6\end{array}\right] \)
(2) \( \mathrm{AB}=\left[\begin{array}{lll}-2 & -1 & 4\end{array}\right] \)
(3) \( \mathrm{AB}=\left[\begin{array}{c}-1 \\ 1 \\ 1\end{array}\right] \)
(4) AB does not exist
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