\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}