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Questions: Algebra BusinessCalculus
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Evaluate the expression \(\displaystyle - 2 A - 4 B - 7 C\)
\begin{equation*} A = \left[\begin{matrix}2 & 3 & -3 & 3\\-4 & 4 & -7 & 1\\7 & -7 & 3 & -4\\5 & 5 & -9 & 1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}6 & -6 & 9 & -8\\7 & 4 & 1 & 0\\1 & -3 & -5 & 6\\2 & -8 & 0 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-7 & 1 & 4 & 3\\-6 & -5 & -8 & 2\\-5 & 3 & 6 & -3\\3 & 5 & 6 & -2\end{matrix}\right]. \end{equation*}
The sum is \(\displaystyle \left[\begin{matrix}21 & 11 & -58 & 5\\22 & 11 & 66 & -16\\17 & 5 & -28 & 5\\-39 & -13 & -24 & 28\end{matrix}\right]\).
\begin{question}Evaluate the expression $- 2 A - 4 B - 7 C$\newline\begin{equation*} A = \left[\begin{matrix}2 & 3 & -3 & 3\\-4 & 4 & -7 & 1\\7 & -7 & 3 & -4\\5 & 5 & -9 & 1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}6 & -6 & 9 & -8\\7 & 4 & 1 & 0\\1 & -3 & -5 & 6\\2 & -8 & 0 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-7 & 1 & 4 & 3\\-6 & -5 & -8 & 2\\-5 & 3 & 6 & -3\\3 & 5 & 6 & -2\end{matrix}\right]. \end{equation*}
\soln{9cm}{The sum is $\left[\begin{matrix}21 & 11 & -58 & 5\\22 & 11 & 66 & -16\\17 & 5 & -28 & 5\\-39 & -13 & -24 & 28\end{matrix}\right]$. }
\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 - 4 B - 7 C " src="/equation_images/%20%5Cdisplaystyle%20-%202%20A%20-%204%20B%20-%207%20C%20" alt="LaTeX: \displaystyle - 2 A - 4 B - 7 C " data-equation-content=" \displaystyle - 2 A - 4 B - 7 C " /> <br> <img class="equation_image" title=" A = \left[\begin{matrix}2 & 3 & -3 & 3\\-4 & 4 & -7 & 1\\7 & -7 & 3 & -4\\5 & 5 & -9 & 1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}6 & -6 & 9 & -8\\7 & 4 & 1 & 0\\1 & -3 & -5 & 6\\2 & -8 & 0 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-7 & 1 & 4 & 3\\-6 & -5 & -8 & 2\\-5 & 3 & 6 & -3\\3 & 5 & 6 & -2\end{matrix}\right]. " src="/equation_images/%20%20A%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D2%20%26%203%20%26%20-3%20%26%203%5C%5C-4%20%26%204%20%26%20-7%20%26%201%5C%5C7%20%26%20-7%20%26%203%20%26%20-4%5C%5C5%20%26%205%20%26%20-9%20%26%201%5Cend%7Bmatrix%7D%5Cright%5D%2C%5Cquad%5Cquad%20B%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D6%20%26%20-6%20%26%209%20%26%20-8%5C%5C7%20%26%204%20%26%201%20%26%200%5C%5C1%20%26%20-3%20%26%20-5%20%26%206%5C%5C2%20%26%20-8%20%26%200%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%7D-7%20%26%201%20%26%204%20%26%203%5C%5C-6%20%26%20-5%20%26%20-8%20%26%202%5C%5C-5%20%26%203%20%26%206%20%26%20-3%5C%5C3%20%26%205%20%26%206%20%26%20-2%5Cend%7Bmatrix%7D%5Cright%5D.%20%20" alt="LaTeX: A = \left[\begin{matrix}2 & 3 & -3 & 3\\-4 & 4 & -7 & 1\\7 & -7 & 3 & -4\\5 & 5 & -9 & 1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}6 & -6 & 9 & -8\\7 & 4 & 1 & 0\\1 & -3 & -5 & 6\\2 & -8 & 0 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-7 & 1 & 4 & 3\\-6 & -5 & -8 & 2\\-5 & 3 & 6 & -3\\3 & 5 & 6 & -2\end{matrix}\right]. " data-equation-content=" A = \left[\begin{matrix}2 & 3 & -3 & 3\\-4 & 4 & -7 & 1\\7 & -7 & 3 & -4\\5 & 5 & -9 & 1\end{matrix}\right],\quad\quad B = \left[\begin{matrix}6 & -6 & 9 & -8\\7 & 4 & 1 & 0\\1 & -3 & -5 & 6\\2 & -8 & 0 & -4\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}-7 & 1 & 4 & 3\\-6 & -5 & -8 & 2\\-5 & 3 & 6 & -3\\3 & 5 & 6 & -2\end{matrix}\right]. " /> </p> </p><p> <p>The sum is <img class="equation_image" title=" \displaystyle \left[\begin{matrix}21 & 11 & -58 & 5\\22 & 11 & 66 & -16\\17 & 5 & -28 & 5\\-39 & -13 & -24 & 28\end{matrix}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B%5Cbegin%7Bmatrix%7D21%20%26%2011%20%26%20-58%20%26%205%5C%5C22%20%26%2011%20%26%2066%20%26%20-16%5C%5C17%20%26%205%20%26%20-28%20%26%205%5C%5C-39%20%26%20-13%20%26%20-24%20%26%2028%5Cend%7Bmatrix%7D%5Cright%5D%20" alt="LaTeX: \displaystyle \left[\begin{matrix}21 & 11 & -58 & 5\\22 & 11 & 66 & -16\\17 & 5 & -28 & 5\\-39 & -13 & -24 & 28\end{matrix}\right] " data-equation-content=" \displaystyle \left[\begin{matrix}21 & 11 & -58 & 5\\22 & 11 & 66 & -16\\17 & 5 & -28 & 5\\-39 & -13 & -24 & 28\end{matrix}\right] " /> . </p> </p>