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Questions: Algebra BusinessCalculus
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Evaluate the expression \(\displaystyle - 2 A + 7 B + 8 C\)
\begin{equation*} A = \left[\begin{matrix}0 & -2 & 4\\1 & -9 & -5\\9 & -8 & -9\\0 & -5 & 5\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & 0 & 7\\6 & -9 & -4\\-4 & 6 & 7\\8 & -5 & 6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}6 & 8 & -7\\5 & 2 & 2\\3 & 3 & -4\\-7 & -2 & -7\end{matrix}\right]. \end{equation*}
The sum is \(\displaystyle \left[\begin{matrix}76 & 68 & -15\\80 & -29 & -2\\-22 & 82 & 35\\0 & -41 & -24\end{matrix}\right]\).
\begin{question}Evaluate the expression $- 2 A + 7 B + 8 C$\newline\begin{equation*} A = \left[\begin{matrix}0 & -2 & 4\\1 & -9 & -5\\9 & -8 & -9\\0 & -5 & 5\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & 0 & 7\\6 & -9 & -4\\-4 & 6 & 7\\8 & -5 & 6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}6 & 8 & -7\\5 & 2 & 2\\3 & 3 & -4\\-7 & -2 & -7\end{matrix}\right]. \end{equation*}
\soln{9cm}{The sum is $\left[\begin{matrix}76 & 68 & -15\\80 & -29 & -2\\-22 & 82 & 35\\0 & -41 & -24\end{matrix}\right]$. }
\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 - 2 A + 7 B + 8 C " src="/equation_images/%20%5Cdisplaystyle%20-%202%20A%20%2B%207%20B%20%2B%208%20C%20" alt="LaTeX: \displaystyle - 2 A + 7 B + 8 C " data-equation-content=" \displaystyle - 2 A + 7 B + 8 C " /> <br> <img class="equation_image" title=" A = \left[\begin{matrix}0 & -2 & 4\\1 & -9 & -5\\9 & -8 & -9\\0 & -5 & 5\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & 0 & 7\\6 & -9 & -4\\-4 & 6 & 7\\8 & -5 & 6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}6 & 8 & -7\\5 & 2 & 2\\3 & 3 & -4\\-7 & -2 & -7\end{matrix}\right]. " src="/equation_images/%20%20A%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D0%20%26%20-2%20%26%204%5C%5C1%20%26%20-9%20%26%20-5%5C%5C9%20%26%20-8%20%26%20-9%5C%5C0%20%26%20-5%20%26%205%5Cend%7Bmatrix%7D%5Cright%5D%2C%5Cquad%5Cquad%20B%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D4%20%26%200%20%26%207%5C%5C6%20%26%20-9%20%26%20-4%5C%5C-4%20%26%206%20%26%207%5C%5C8%20%26%20-5%20%26%206%5Cend%7Bmatrix%7D%5Cright%5D%2C%20%5Ctext%7B%20and%20%7D%20%5Cquad%20C%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D6%20%26%208%20%26%20-7%5C%5C5%20%26%202%20%26%202%5C%5C3%20%26%203%20%26%20-4%5C%5C-7%20%26%20-2%20%26%20-7%5Cend%7Bmatrix%7D%5Cright%5D.%20%20" alt="LaTeX: A = \left[\begin{matrix}0 & -2 & 4\\1 & -9 & -5\\9 & -8 & -9\\0 & -5 & 5\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & 0 & 7\\6 & -9 & -4\\-4 & 6 & 7\\8 & -5 & 6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}6 & 8 & -7\\5 & 2 & 2\\3 & 3 & -4\\-7 & -2 & -7\end{matrix}\right]. " data-equation-content=" A = \left[\begin{matrix}0 & -2 & 4\\1 & -9 & -5\\9 & -8 & -9\\0 & -5 & 5\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & 0 & 7\\6 & -9 & -4\\-4 & 6 & 7\\8 & -5 & 6\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}6 & 8 & -7\\5 & 2 & 2\\3 & 3 & -4\\-7 & -2 & -7\end{matrix}\right]. " /> </p> </p><p> <p>The sum is <img class="equation_image" title=" \displaystyle \left[\begin{matrix}76 & 68 & -15\\80 & -29 & -2\\-22 & 82 & 35\\0 & -41 & -24\end{matrix}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B%5Cbegin%7Bmatrix%7D76%20%26%2068%20%26%20-15%5C%5C80%20%26%20-29%20%26%20-2%5C%5C-22%20%26%2082%20%26%2035%5C%5C0%20%26%20-41%20%26%20-24%5Cend%7Bmatrix%7D%5Cright%5D%20" alt="LaTeX: \displaystyle \left[\begin{matrix}76 & 68 & -15\\80 & -29 & -2\\-22 & 82 & 35\\0 & -41 & -24\end{matrix}\right] " data-equation-content=" \displaystyle \left[\begin{matrix}76 & 68 & -15\\80 & -29 & -2\\-22 & 82 & 35\\0 & -41 & -24\end{matrix}\right] " /> . </p> </p>