second-sem/maths/assignment-matrices/assign.tex

\documentclass{article}
% Import for matrices
\usepackage{amsmath}
\begin{document}
\title{Mathematics Assignment --- Matrices}
\author{Ahmad Saalim Lone, 2019BCSE017}
\date{05 May, 2020}
\maketitle
\section{Question 1}
\begin{equation}
	A =
	\begin{bmatrix}
		2 & -5 & -1 \\
		-2 & -1 & 4
	\end{bmatrix}
	B =
	\begin{bmatrix}
		3 & 4 & 0 \\
		5 & -2 & 3
	\end{bmatrix}
\end{equation}

\subsection{Part i}
\begin{equation}
	A + B =
	\begin{bmatrix}
		2 + 1 & -5 + 4 & -1 + 0 \\
		-2 + 5 & -1 -2 & 4 + 3
	\end{bmatrix}
\end{equation}
\begin{equation}
	A + B =
	\begin{bmatrix}
		3 & -1 & -1 \\
		3 & -3 & 7
	\end{bmatrix}
\end{equation}
\subsection{Part ii}
\begin{equation}
	2A + B =
	\begin{bmatrix}
		4 + 1 & -10 + 4 & -2 + 0 \\
		-4 + 5 & -2 -2 & 8 + 3
	\end{bmatrix}
\end{equation}
\begin{equation}
	2A + B =
	\begin{bmatrix}
		5 & -6 & -2 \\
		1 & -4 & 11
	\end{bmatrix}
\end{equation}
\section{Question 2}
\begin{equation}
	A =
	\begin{bmatrix}
		1 & 2 & 3 \\
		4 & 5 & 6 \\
		7 & 8 & 9
	\end{bmatrix}
	B =
	\begin{bmatrix}
		1 & 0 & 2 \\
		2 & 1 & 2 \\
		5 & 2 & 3
	\end{bmatrix}
\end{equation}
\begin{equation}
	AB =
	\begin{bmatrix}
		1 & 2 & 3 \\
		4 & 5 & 6 \\
		7 & 8 & 9
	\end{bmatrix}
	\begin{bmatrix}
		1 & 0 & 2 \\
		2 & 1 & 2 \\
		5 & 2 & 3
	\end{bmatrix}
\end{equation}
\begin{equation}
	AB =
	\begin{bmatrix}
		1 * 1 + 2 * 2 + 3 * 5 & 1 * 0 + 2 * 1 + 3 * 2 & 1 * 2 + 2 * 2 + 3 * 3 \\
		4 * 1 + 5 * 2 + 6 * 5 & 4 * 0 + 5 * 1 + 6 * 2 & 4 * 2 + 5 * 2 + 6 * 3 \\
		7 * 1 + 8 * 2 + 9 * 5 & 7 * 0 + 8 * 1 + 9 * 2 & 7 * 2 + 8 * 2 + 9 * 3
	\end{bmatrix}
\end{equation}
\begin{equation}
	AB =
	\begin{bmatrix}
		20 & 8 & 16 \\
		44 & 17 & 36 \\
		68 & 26 & 57
	\end{bmatrix}
\end{equation}
\end{document}