\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus

Please login to create an exam or a quiz.

Business
Matrices
New Random

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


The sum is \(\displaystyle \left[\begin{matrix}96 & 88 & 32 & 32\\-72 & -32 & 136 & -48\\-8 & 104 & -88 & 48\\32 & -32 & 72 & 32\end{matrix}\right]\).

Download \(\LaTeX\)

\begin{question}Evaluate the expression $- 8 A - 8 B$\newline\begin{equation*} A = \left[\begin{matrix}-5 & -5 & 3 & 4\\2 & 8 & -8 & 8\\6 & -7 & 6 & 0\\0 & 0 & -6 & -5\end{matrix}\right], \text{ and } \quad\quad B = \left[\begin{matrix}-7 & -6 & -7 & -8\\7 & -4 & -9 & -2\\-5 & -6 & 5 & -6\\-4 & 4 & -3 & 1\end{matrix}\right] \end{equation*}
    \soln{9cm}{The sum is $\left[\begin{matrix}96 & 88 & 32 & 32\\-72 & -32 & 136 & -48\\-8 & 104 & -88 & 48\\32 & -32 & 72 & 32\end{matrix}\right]$. }

\end{question}

Download Question and Solution Environment\(\LaTeX\)
\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}

\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}

\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}

\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue

\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 - 8 A - 8 B " src="/equation_images/%20%5Cdisplaystyle%20-%208%20A%20-%208%20B%20" alt="LaTeX:  \displaystyle - 8 A - 8 B " data-equation-content=" \displaystyle - 8 A - 8 B " /> <br> <img class="equation_image" title="  A = \left[\begin{matrix}-5 & -5 & 3 & 4\\2 & 8 & -8 & 8\\6 & -7 & 6 & 0\\0 & 0 & -6 & -5\end{matrix}\right], \text{ and } \quad\quad B = \left[\begin{matrix}-7 & -6 & -7 & -8\\7 & -4 & -9 & -2\\-5 & -6 & 5 & -6\\-4 & 4 & -3 & 1\end{matrix}\right]  " src="/equation_images/%20%20A%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-5%20%26%20-5%20%26%203%20%26%204%5C%5C2%20%26%208%20%26%20-8%20%26%208%5C%5C6%20%26%20-7%20%26%206%20%26%200%5C%5C0%20%26%200%20%26%20-6%20%26%20-5%5Cend%7Bmatrix%7D%5Cright%5D%2C%20%5Ctext%7B%20and%20%7D%20%5Cquad%5Cquad%20B%20%3D%20%5Cleft%5B%5Cbegin%7Bmatrix%7D-7%20%26%20-6%20%26%20-7%20%26%20-8%5C%5C7%20%26%20-4%20%26%20-9%20%26%20-2%5C%5C-5%20%26%20-6%20%26%205%20%26%20-6%5C%5C-4%20%26%204%20%26%20-3%20%26%201%5Cend%7Bmatrix%7D%5Cright%5D%20%20" alt="LaTeX:   A = \left[\begin{matrix}-5 & -5 & 3 & 4\\2 & 8 & -8 & 8\\6 & -7 & 6 & 0\\0 & 0 & -6 & -5\end{matrix}\right], \text{ and } \quad\quad B = \left[\begin{matrix}-7 & -6 & -7 & -8\\7 & -4 & -9 & -2\\-5 & -6 & 5 & -6\\-4 & 4 & -3 & 1\end{matrix}\right]  " data-equation-content="  A = \left[\begin{matrix}-5 & -5 & 3 & 4\\2 & 8 & -8 & 8\\6 & -7 & 6 & 0\\0 & 0 & -6 & -5\end{matrix}\right], \text{ and } \quad\quad B = \left[\begin{matrix}-7 & -6 & -7 & -8\\7 & -4 & -9 & -2\\-5 & -6 & 5 & -6\\-4 & 4 & -3 & 1\end{matrix}\right]  " /> </p> </p>
HTML for Canvas
<p> <p>The sum is  <img class="equation_image" title=" \displaystyle \left[\begin{matrix}96 & 88 & 32 & 32\\-72 & -32 & 136 & -48\\-8 & 104 & -88 & 48\\32 & -32 & 72 & 32\end{matrix}\right] " src="/equation_images/%20%5Cdisplaystyle%20%5Cleft%5B%5Cbegin%7Bmatrix%7D96%20%26%2088%20%26%2032%20%26%2032%5C%5C-72%20%26%20-32%20%26%20136%20%26%20-48%5C%5C-8%20%26%20104%20%26%20-88%20%26%2048%5C%5C32%20%26%20-32%20%26%2072%20%26%2032%5Cend%7Bmatrix%7D%5Cright%5D%20" alt="LaTeX:  \displaystyle \left[\begin{matrix}96 & 88 & 32 & 32\\-72 & -32 & 136 & -48\\-8 & 104 & -88 & 48\\32 & -32 & 72 & 32\end{matrix}\right] " data-equation-content=" \displaystyle \left[\begin{matrix}96 & 88 & 32 & 32\\-72 & -32 & 136 & -48\\-8 & 104 & -88 & 48\\32 & -32 & 72 & 32\end{matrix}\right] " /> . </p> </p>