\documentclass{exam}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{graphicx,wasysym,gensymb}
\usepackage[hmargin=1in,tmargin=.75in,bmargin=1in]{geometry}
\usepackage[dvipsnames,table]{xcolor}
\usepackage{leftidx}
\usepackage{pgfplots}
\pagestyle{empty}

\usepackage{amsthm}
\makeatletter
\newtheoremstyle{indented}
  {.15cm}% space before
  {.15cm}% space after
  {\addtolength{\@totalleftmargin}{3.5em}
   \addtolength{\linewidth}{-3.5em}
   \parshape 1 3.5em \linewidth}% body font
  {}% indent
  {\bfseries}% header font
  {.}% punctuation
  {.5em}% after theorem header
  {}% header specification (empty for default)
\makeatother
\theoremstyle{indented}
\newtheorem{exmp}{Example}
\newtheorem{prac}{Practice}

\usepackage{tikz}
\usepackage{tikz-qtree}
\usetikzlibrary{calc,shapes,arrows.meta}

\usepackage{grffile}

\usepackage{enumitem}

\usepackage{stackengine}

\usepackage{pdfpages}

\usepackage{blkarray, bigstrut}

\usepackage{caption}

\usepackage{pifont}

\newcommand\funderline[1]{\stackengine{0pt}{\underline{\qquad\qquad\vphantom{#1}}}{#1}{O}{c}{F}{F}{L}}

\newcommand\tline[2]{\underset{\text{#1}}{\funderline{$#2$}}}

\newcommand\myperm[2]{\leftidx{_#1}{P}{_#2}}

\newcommand\mycomb[2]{\leftidx{_#1}{C}{_#2}}

\newcommand*\NewPage{\newpage\null}

\pgfmathdeclarefunction{gauss}{3}{\pgfmathparse{1/(#3*sqrt(2*pi))*exp(-((#1-#2)^2)/(2*#3^2))}}

\newcommand\CircN[1]{%
  \tikz[baseline=(char.base)]\node[circle,draw,inner sep=2pt] (char) {#1};}

\newcommand\CircP[1]{%
  \tikz[baseline=(char.base)]\node[circle,draw,inner sep=4.75pt] (char) {#1};}
  
\newcommand\BLUE[1]{\textcolor{blue}{\textbf{#1}}}
\newcommand\WHITE[1]{\textcolor{white}{\textbf{#1}}}
\newcommand{\PreserveBackslash}[1]{\let\temp=\\#1\let\\=\temp}
\newcolumntype{C}[1]{>{\PreserveBackslash\centering}p{#1}}
\newcolumntype{R}[1]{>{\PreserveBackslash\raggedleft}p{#1}}
\newcolumntype{L}[1]{>{\PreserveBackslash\raggedright}p{#1}}
\newcommand{\cmark}{\ding{51}}
\newcommand{\xmark}{\ding{55}}



\begin{document}
\noindent Name: \rule{7cm}{.2pt} \vspace{.3cm} \hfill Date:  \rule{3.5cm}{.2pt}
\vspace{.3cm}

\noindent\hrulefill
\begin{center}
{\bf \Large{MA 162}} \\\vspace{.1cm} Week 5 Recitation Worksheet (Thursday)
\end{center}
\vspace{-.3cm}
\hrulefill

\begin{center}
\fbox{\textbf{You must show all work to receive full credit.}}
\end{center}

\begin{enumerate}
%1
\item For which values of $x$ and $y$ are the following matrices equal?
$$\left[\begin{array}{rr}
5x + 2y & -9\\0 & x - 3y
\end{array}\right] = \left[\begin{array}{rr}
11 & -9\\0 & -25
\end{array}\right]$$\vspace{1cm}\vfill\vfill


%2
\item Define $A$, $B$ and $C$ as
\begin{equation*}
A = \left[\begin{array}{rr}
-2 & 1\\
3 & 3\\
-6 & -9
\end{array}\right], \quad 
B = \left[\begin{array}{rr}
-6 & 2\\
-4 & -7\\
7 & -5
\end{array}\right] \quad \text{and} \quad
C = \left[\begin{array}{rrr}
-4 & -7 & -4\\
-8 & -5 & 5
\end{array}\right].
\end{equation*}
Determine the following matrices, if possible.
\begin{parts}
\item $A + C$\vfill
\item $A + B$\vfill
\item $B + A$\vfill
\end{parts}


\newpage
%3
\item Define $A$, $B$ and $C$ as
\begin{equation*}
A = \left[\begin{array}{rr}
-2 & 1\\
3 & 3\\
-6 & -9
\end{array}\right], \quad 
B = \left[\begin{array}{rr}
-6 & 2\\
-4 & -7\\
7 & -5
\end{array}\right] \quad \text{and} \quad
C = \left[\begin{array}{rrr}
-4 & -7 & -4\\
-8 & -5 & 5
\end{array}\right].
\end{equation*}
Determine the following matrices, if possible.
\begin{parts}
\item $A - C$\vfill
\item $A - B$\vfill
\item $B - A$\vspace{1cm}\vfill
\end{parts}


%4
\item Define
\begin{equation*}
A = \left[\begin{array}{rr}
-2 & 1\\
3 & 3\\
-6 & -9
\end{array}\right].
\end{equation*}
Determine the following matrices, if possible.
\begin{parts}
\item $0A$\vfill
\item $4A$\vfill
\item $-5A$\vfill
\end{parts}


\newpage
%5
\item Define $A$, $B$ and $C$ as
\begin{equation*}
A = \left[\begin{array}{rr}
-2 & 1\\
3 & 3\\
-6 & -9
\end{array}\right], \quad 
B = \left[\begin{array}{rr}
-6 & 2\\
-4 & -7\\
7 & -5
\end{array}\right] \quad \text{and} \quad 
C = \left[\begin{array}{rrr}
-4 & -7 & -4\\
-8 & -5 & 5
\end{array}\right].
\end{equation*}
Determine the following matrices, if possible.
\begin{parts}
\item[(a$^*$)] $AB$\vfill
\item[(b$^*$)] $AC$\vfill
\item[(c)] $CA$\vfill
\end{parts}
\end{enumerate}
\end{document}