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Evaluate the expression \(\displaystyle 6 A + B + 5 C\)
\begin{equation*} A = \left[\begin{matrix}6 & 1 & -2 & -7\\-5 & 1 & 0 & 4\\7 & 0 & 3 & 4\\-8 & -8 & 1 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}0 & 7 & 0 & -6\\3 & -7 & -5 & -8\\1 & 0 & 4 & -8\\0 & -2 & 2 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}1 & -7 & -1 & 4\\-3 & 9 & -6 & -1\\-4 & -8 & 5 & 5\\-3 & 7 & -8 & -7\end{matrix}\right]. \end{equation*}


The sum is \(\displaystyle \left[\begin{matrix}41 & -22 & -17 & -28\\-42 & 44 & -35 & 11\\23 & -40 & 47 & 41\\-63 & -15 & -32 & -15\end{matrix}\right]\).

Download \(\LaTeX\)

\begin{question}Evaluate the expression $6 A + B + 5 C$\newline\begin{equation*} A = \left[\begin{matrix}6 & 1 & -2 & -7\\-5 & 1 & 0 & 4\\7 & 0 & 3 & 4\\-8 & -8 & 1 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}0 & 7 & 0 & -6\\3 & -7 & -5 & -8\\1 & 0 & 4 & -8\\0 & -2 & 2 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}1 & -7 & -1 & 4\\-3 & 9 & -6 & -1\\-4 & -8 & 5 & 5\\-3 & 7 & -8 & -7\end{matrix}\right]. \end{equation*}
    \soln{9cm}{The sum is $\left[\begin{matrix}41 & -22 & -17 & -28\\-42 & 44 & -35 & 11\\23 & -40 & 47 & 41\\-63 & -15 & -32 & -15\end{matrix}\right]$. }

\end{question}

Download Question and Solution Environment\(\LaTeX\)
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\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

\end{question}\end{document}
HTML for Canvas
<p> <p>Evaluate the expression  <img class="equation_image" title=" \displaystyle 6 A + B + 5 C " src="/equation_images/%20%5Cdisplaystyle%206%20A%20%2B%20B%20%2B%205%20C%20" alt="LaTeX:  \displaystyle 6 A + B + 5 C " data-equation-content=" \displaystyle 6 A + B + 5 C " /> <br> <img class="equation_image" title="  A = \left[\begin{matrix}6 & 1 & -2 & -7\\-5 & 1 & 0 & 4\\7 & 0 & 3 & 4\\-8 & -8 & 1 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}0 & 7 & 0 & -6\\3 & -7 & -5 & -8\\1 & 0 & 4 & -8\\0 & -2 & 2 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}1 & -7 & -1 & 4\\-3 & 9 & -6 & -1\\-4 & -8 & 5 & 5\\-3 & 7 & -8 & -7\end{matrix}\right].  " src="/equation_images/%20%20A%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D6%20%26%201%20%26%20-2%20%26%20-7%5C%5C-5%20%26%201%20%26%200%20%26%204%5C%5C7%20%26%200%20%26%203%20%26%204%5C%5C-8%20%26%20-8%20%26%201%20%26%204%5Cend%7Bmatrix%7D%5Cright%5D%2C%5Cquad%5Cquad%20B%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D0%20%26%207%20%26%200%20%26%20-6%5C%5C3%20%26%20-7%20%26%20-5%20%26%20-8%5C%5C1%20%26%200%20%26%204%20%26%20-8%5C%5C0%20%26%20-2%20%26%202%20%26%20-4%5Cend%7Bmatrix%7D%5Cright%5D%2C%20%5Ctext%7B%20and%20%7D%20%5Cquad%20C%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D1%20%26%20-7%20%26%20-1%20%26%204%5C%5C-3%20%26%209%20%26%20-6%20%26%20-1%5C%5C-4%20%26%20-8%20%26%205%20%26%205%5C%5C-3%20%26%207%20%26%20-8%20%26%20-7%5Cend%7Bmatrix%7D%5Cright%5D.%20%20" alt="LaTeX:   A = \left[\begin{matrix}6 & 1 & -2 & -7\\-5 & 1 & 0 & 4\\7 & 0 & 3 & 4\\-8 & -8 & 1 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}0 & 7 & 0 & -6\\3 & -7 & -5 & -8\\1 & 0 & 4 & -8\\0 & -2 & 2 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}1 & -7 & -1 & 4\\-3 & 9 & -6 & -1\\-4 & -8 & 5 & 5\\-3 & 7 & -8 & -7\end{matrix}\right].  " data-equation-content="  A = \left[\begin{matrix}6 & 1 & -2 & -7\\-5 & 1 & 0 & 4\\7 & 0 & 3 & 4\\-8 & -8 & 1 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}0 & 7 & 0 & -6\\3 & -7 & -5 & -8\\1 & 0 & 4 & -8\\0 & -2 & 2 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}1 & -7 & -1 & 4\\-3 & 9 & -6 & -1\\-4 & -8 & 5 & 5\\-3 & 7 & -8 & -7\end{matrix}\right].  " /> </p> </p>
HTML for Canvas
<p> <p>The sum is  <img class="equation_image" title=" \displaystyle \left[\begin{matrix}41 & -22 & -17 & -28\\-42 & 44 & -35 & 11\\23 & -40 & 47 & 41\\-63 & -15 & -32 & -15\end{matrix}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B%5Cbegin%7Bmatrix%7D41%20%26%20-22%20%26%20-17%20%26%20-28%5C%5C-42%20%26%2044%20%26%20-35%20%26%2011%5C%5C23%20%26%20-40%20%26%2047%20%26%2041%5C%5C-63%20%26%20-15%20%26%20-32%20%26%20-15%5Cend%7Bmatrix%7D%5Cright%5D%20" alt="LaTeX:  \displaystyle \left[\begin{matrix}41 & -22 & -17 & -28\\-42 & 44 & -35 & 11\\23 & -40 & 47 & 41\\-63 & -15 & -32 & -15\end{matrix}\right] " data-equation-content=" \displaystyle \left[\begin{matrix}41 & -22 & -17 & -28\\-42 & 44 & -35 & 11\\23 & -40 & 47 & 41\\-63 & -15 & -32 & -15\end{matrix}\right] " /> . </p> </p>