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

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\documentclass{article}
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% 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}
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\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}
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\end{document}