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Questions: Algebra BusinessCalculus
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Evaluate the expression \(\displaystyle 6 A - 4 B - 8 C\)
\begin{equation*} A = \left[\begin{matrix}-2 & -1\\-3 & -1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & 3\\1 & 7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-9 & 8\\5 & -9\end{matrix}\right]. \end{equation*}
The sum is \(\displaystyle \left[\begin{matrix}76 & -82\\-62 & 38\end{matrix}\right]\).
\begin{question}Evaluate the expression $6 A - 4 B - 8 C$\newline\begin{equation*} A = \left[\begin{matrix}-2 & -1\\-3 & -1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & 3\\1 & 7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-9 & 8\\5 & -9\end{matrix}\right]. \end{equation*}
\soln{9cm}{The sum is $\left[\begin{matrix}76 & -82\\-62 & 38\end{matrix}\right]$. }
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Evaluate the expression <img class="equation_image" title=" \displaystyle 6 A - 4 B - 8 C " src="/equation_images/%20%5Cdisplaystyle%206%20A%20-%204%20B%20-%208%20C%20" alt="LaTeX: \displaystyle 6 A - 4 B - 8 C " data-equation-content=" \displaystyle 6 A - 4 B - 8 C " /> <br> <img class="equation_image" title=" A = \left[\begin{matrix}-2 & -1\\-3 & -1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & 3\\1 & 7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-9 & 8\\5 & -9\end{matrix}\right]. " src="/equation_images/%20%20A%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-2%20%26%20-1%5C%5C-3%20%26%20-1%5Cend%7Bmatrix%7D%5Cright%5D%2C%5Cquad%5Cquad%20B%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-4%20%26%203%5C%5C1%20%26%207%5Cend%7Bmatrix%7D%5Cright%5D%2C%20%5Ctext%7B%20and%20%7D%20%5Cquad%20C%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-9%20%26%208%5C%5C5%20%26%20-9%5Cend%7Bmatrix%7D%5Cright%5D.%20%20" alt="LaTeX: A = \left[\begin{matrix}-2 & -1\\-3 & -1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & 3\\1 & 7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-9 & 8\\5 & -9\end{matrix}\right]. " data-equation-content=" A = \left[\begin{matrix}-2 & -1\\-3 & -1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & 3\\1 & 7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-9 & 8\\5 & -9\end{matrix}\right]. " /> </p> </p><p> <p>The sum is <img class="equation_image" title=" \displaystyle \left[\begin{matrix}76 & -82\\-62 & 38\end{matrix}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B%5Cbegin%7Bmatrix%7D76%20%26%20-82%5C%5C-62%20%26%2038%5Cend%7Bmatrix%7D%5Cright%5D%20" alt="LaTeX: \displaystyle \left[\begin{matrix}76 & -82\\-62 & 38\end{matrix}\right] " data-equation-content=" \displaystyle \left[\begin{matrix}76 & -82\\-62 & 38\end{matrix}\right] " /> . </p> </p>