98 lines
1.7 KiB
TeX
98 lines
1.7 KiB
TeX
\documentclass{article}
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% Import for matrices
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\usepackage{amsmath}
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\begin{document}
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\title{Mathematics Assignment --- Matrices}
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\author{Ahmad Saalim Lone, 2019BCSE017}
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\date{05 May, 2020}
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\maketitle
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\section{Question 1}
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\begin{equation}
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A =
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\begin{bmatrix}
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2 & -5 & -1 \\
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-2 & -1 & 4
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\end{bmatrix}
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B =
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\begin{bmatrix}
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3 & 4 & 0 \\
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5 & -2 & 3
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\end{bmatrix}
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\end{equation}
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\subsection{Part i}
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\begin{equation}
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A + B =
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\begin{bmatrix}
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2 + 1 & -5 + 4 & -1 + 0 \\
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-2 + 5 & -1 -2 & 4 + 3
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\end{bmatrix}
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\end{equation}
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\begin{equation}
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A + B =
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\begin{bmatrix}
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3 & -1 & -1 \\
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3 & -3 & 7
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\end{bmatrix}
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\end{equation}
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\subsection{Part ii}
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\begin{equation}
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2A + B =
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\begin{bmatrix}
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4 + 1 & -10 + 4 & -2 + 0 \\
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-4 + 5 & -2 -2 & 8 + 3
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\end{bmatrix}
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\end{equation}
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\begin{equation}
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2A + B =
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\begin{bmatrix}
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5 & -6 & -2 \\
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1 & -4 & 11
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\end{bmatrix}
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\end{equation}
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\section{Question 2}
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\begin{equation}
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A =
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\begin{bmatrix}
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1 & 2 & 3 \\
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4 & 5 & 6 \\
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7 & 8 & 9
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\end{bmatrix}
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B =
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\begin{bmatrix}
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1 & 0 & 2 \\
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2 & 1 & 2 \\
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5 & 2 & 3
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\end{bmatrix}
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\end{equation}
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\begin{equation}
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AB =
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\begin{bmatrix}
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1 & 2 & 3 \\
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4 & 5 & 6 \\
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7 & 8 & 9
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\end{bmatrix}
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\begin{bmatrix}
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1 & 0 & 2 \\
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2 & 1 & 2 \\
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5 & 2 & 3
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\end{bmatrix}
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\end{equation}
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\begin{equation}
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AB =
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\begin{bmatrix}
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1 * 1 + 2 * 2 + 3 * 5 & 1 * 0 + 2 * 1 + 3 * 2 & 1 * 2 + 2 * 2 + 3 * 3 \\
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4 * 1 + 5 * 2 + 6 * 5 & 4 * 0 + 5 * 1 + 6 * 2 & 4 * 2 + 5 * 2 + 6 * 3 \\
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7 * 1 + 8 * 2 + 9 * 5 & 7 * 0 + 8 * 1 + 9 * 2 & 7 * 2 + 8 * 2 + 9 * 3
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\end{bmatrix}
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\end{equation}
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\begin{equation}
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AB =
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\begin{bmatrix}
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20 & 8 & 16 \\
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44 & 17 & 36 \\
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68 & 26 & 57
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\end{bmatrix}
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\end{equation}
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\end{document}
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