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Questions: Algebra BusinessCalculus
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Evaluate the expression \(\displaystyle - 4 A + 6 B + 8 C\)
\begin{equation*} A = \left[\begin{matrix}-7 & 1\\9 & 7\\-5 & -6\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & -8\\2 & -2\\-8 & -6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-2 & -4\\9 & -2\\-2 & 7\end{matrix}\right]. \end{equation*}
The sum is \(\displaystyle \left[\begin{matrix}-12 & -84\\48 & -56\\-44 & 44\end{matrix}\right]\).
\begin{question}Evaluate the expression $- 4 A + 6 B + 8 C$\newline\begin{equation*} A = \left[\begin{matrix}-7 & 1\\9 & 7\\-5 & -6\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & -8\\2 & -2\\-8 & -6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-2 & -4\\9 & -2\\-2 & 7\end{matrix}\right]. \end{equation*}
\soln{9cm}{The sum is $\left[\begin{matrix}-12 & -84\\48 & -56\\-44 & 44\end{matrix}\right]$. }
\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 - 4 A + 6 B + 8 C " src="/equation_images/%20%5Cdisplaystyle%20-%204%20A%20%2B%206%20B%20%2B%208%20C%20" alt="LaTeX: \displaystyle - 4 A + 6 B + 8 C " data-equation-content=" \displaystyle - 4 A + 6 B + 8 C " /> <br> <img class="equation_image" title=" A = \left[\begin{matrix}-7 & 1\\9 & 7\\-5 & -6\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & -8\\2 & -2\\-8 & -6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-2 & -4\\9 & -2\\-2 & 7\end{matrix}\right]. " src="/equation_images/%20%20A%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-7%20%26%201%5C%5C9%20%26%207%5C%5C-5%20%26%20-6%5Cend%7Bmatrix%7D%5Cright%5D%2C%5Cquad%5Cquad%20B%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-4%20%26%20-8%5C%5C2%20%26%20-2%5C%5C-8%20%26%20-6%5Cend%7Bmatrix%7D%5Cright%5D%2C%20%5Ctext%7B%20and%20%7D%20%5Cquad%20C%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-2%20%26%20-4%5C%5C9%20%26%20-2%5C%5C-2%20%26%207%5Cend%7Bmatrix%7D%5Cright%5D.%20%20" alt="LaTeX: A = \left[\begin{matrix}-7 & 1\\9 & 7\\-5 & -6\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & -8\\2 & -2\\-8 & -6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-2 & -4\\9 & -2\\-2 & 7\end{matrix}\right]. " data-equation-content=" A = \left[\begin{matrix}-7 & 1\\9 & 7\\-5 & -6\end{matrix}\right],\quad\quad B = \left[\begin{matrix}-4 & -8\\2 & -2\\-8 & -6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-2 & -4\\9 & -2\\-2 & 7\end{matrix}\right]. " /> </p> </p><p> <p>The sum is <img class="equation_image" title=" \displaystyle \left[\begin{matrix}-12 & -84\\48 & -56\\-44 & 44\end{matrix}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-12%20%26%20-84%5C%5C48%20%26%20-56%5C%5C-44%20%26%2044%5Cend%7Bmatrix%7D%5Cright%5D%20" alt="LaTeX: \displaystyle \left[\begin{matrix}-12 & -84\\48 & -56\\-44 & 44\end{matrix}\right] " data-equation-content=" \displaystyle \left[\begin{matrix}-12 & -84\\48 & -56\\-44 & 44\end{matrix}\right] " /> . </p> </p>