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Questions: Algebra BusinessCalculus
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Evaluate the expression \(\displaystyle 3 A - 7 B - 3 C\)
\begin{equation*} A = \left[\begin{matrix}3 & -7\\1 & 6\\2 & 1\\5 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & -9\\5 & 5\\2 & -5\\4 & -7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}4 & 7\\5 & 4\\1 & -4\\4 & -6\end{matrix}\right]. \end{equation*}
The sum is \(\displaystyle \left[\begin{matrix}-31 & 21\\-47 & -29\\-11 & 50\\-25 & 79\end{matrix}\right]\).
\begin{question}Evaluate the expression $3 A - 7 B - 3 C$\newline\begin{equation*} A = \left[\begin{matrix}3 & -7\\1 & 6\\2 & 1\\5 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & -9\\5 & 5\\2 & -5\\4 & -7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}4 & 7\\5 & 4\\1 & -4\\4 & -6\end{matrix}\right]. \end{equation*}
\soln{9cm}{The sum is $\left[\begin{matrix}-31 & 21\\-47 & -29\\-11 & 50\\-25 & 79\end{matrix}\right]$. }
\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 3 A - 7 B - 3 C " src="/equation_images/%20%5Cdisplaystyle%203%20A%20-%207%20B%20-%203%20C%20" alt="LaTeX: \displaystyle 3 A - 7 B - 3 C " data-equation-content=" \displaystyle 3 A - 7 B - 3 C " /> <br> <img class="equation_image" title=" A = \left[\begin{matrix}3 & -7\\1 & 6\\2 & 1\\5 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & -9\\5 & 5\\2 & -5\\4 & -7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}4 & 7\\5 & 4\\1 & -4\\4 & -6\end{matrix}\right]. " src="/equation_images/%20%20A%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D3%20%26%20-7%5C%5C1%20%26%206%5C%5C2%20%26%201%5C%5C5%20%26%204%5Cend%7Bmatrix%7D%5Cright%5D%2C%5Cquad%5Cquad%20B%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D4%20%26%20-9%5C%5C5%20%26%205%5C%5C2%20%26%20-5%5C%5C4%20%26%20-7%5Cend%7Bmatrix%7D%5Cright%5D%2C%20%5Ctext%7B%20and%20%7D%20%5Cquad%20C%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D4%20%26%207%5C%5C5%20%26%204%5C%5C1%20%26%20-4%5C%5C4%20%26%20-6%5Cend%7Bmatrix%7D%5Cright%5D.%20%20" alt="LaTeX: A = \left[\begin{matrix}3 & -7\\1 & 6\\2 & 1\\5 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & -9\\5 & 5\\2 & -5\\4 & -7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}4 & 7\\5 & 4\\1 & -4\\4 & -6\end{matrix}\right]. " data-equation-content=" A = \left[\begin{matrix}3 & -7\\1 & 6\\2 & 1\\5 & 4\end{matrix}\right],\quad\quad B = \left[\begin{matrix}4 & -9\\5 & 5\\2 & -5\\4 & -7\end{matrix}\right], \text{ and } \quad C = \left[\begin{matrix}4 & 7\\5 & 4\\1 & -4\\4 & -6\end{matrix}\right]. " /> </p> </p><p> <p>The sum is <img class="equation_image" title=" \displaystyle \left[\begin{matrix}-31 & 21\\-47 & -29\\-11 & 50\\-25 & 79\end{matrix}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-31%20%26%2021%5C%5C-47%20%26%20-29%5C%5C-11%20%26%2050%5C%5C-25%20%26%2079%5Cend%7Bmatrix%7D%5Cright%5D%20" alt="LaTeX: \displaystyle \left[\begin{matrix}-31 & 21\\-47 & -29\\-11 & 50\\-25 & 79\end{matrix}\right] " data-equation-content=" \displaystyle \left[\begin{matrix}-31 & 21\\-47 & -29\\-11 & 50\\-25 & 79\end{matrix}\right] " /> . </p> </p>