Find the Indicated Matrix Product or State That the Product

question 208

Multiple Choice

Find the indicated matrix product or state that the product is undefined.
- $$A = \left[ \begin{array} { l l l l } 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 \\1 & 0 & 0 & 0 \\0 & 0 & 1 & 0\end{array} \right] , B = \left[ \begin{array} { r r r r } - 2 & 9 & 3 & 1 \\- 3 & 1 & 1 & - 6 \\1 & - 4 & 5 & 0 \\6 & 3 & - 3 & - 1\end{array} \right]$$
$\mathrm { AB }$

• A)\(\left[\begin{array}{rrrr}
• -3 & 1 & 1 & -6 \\
• 6 & 3 & -3 & -1 \\
• -2 & 9 & 3 & 1 \\
• 1 & -4 & 5 & 0
• \end{array}\right]\)
• B)\(\left[\begin{array}{rrrr}
• 3 & -2 & 1 & 9 \\
• 1 & -3 & -6 & 1 \\
• 5 & 1 & 0 & -4 \\
• -3 & 6 & -1 & 3
• \end{array}\right]\)
• C)\(\left[\begin{array}{rrrr}
• -2 & 9 & 3 & 1 \\
• -3 & 1 & 1 & -6 \\
• 1 & -4 & 5 & 0 \\
• 6 & 3 & -3 & -1
• \end{array}\right]\)
• D)\(\left[\begin{array}{rrrr}
• 0 & 9 & 0 & 0 \\
• 0 & 0 & 0 & -6 \\
• 1 & 0 & 0 & 0 \\
• 0 & 0 & -3 & 0
• \end{array}\right]\)

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