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\documentclass[10pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage[varg]{txfonts}
\begin{document}
\title{Problems for Tutorial-01: Basics of Scilab}
\date{}
\maketitle
\begin{enumerate}
\item Write a Scilab script to compute the following:
\begin{enumerate}
\item $n_1 = \sqrt{(Ax - y)^T(Ax - y)}$
\item $n_2 = $ Sum of elements of $(Ax-b)$ (Hint: Use sum command)
\item $n_3 = $ Sum of square of the elements of $(Ax - b)$ (Hint: Use for loop)
\end{enumerate}
where $A = \begin{bmatrix}a & a^2 & a^3\\b & b^2 & b^3\\c & c^2 & c^3\end{bmatrix}$,
$a = 1, b = 2, c = 3$, $x = \begin{bmatrix}1\\1\\1\end{bmatrix}$,
$y = \begin{bmatrix}4\\12\\36\end{bmatrix}$.
\item Write a Scilab script to save the solution of Problem $1$, i.e.,
$\begin{bmatrix}n_1 & n_2 & n_3\end{bmatrix}$ as \verb'Problem2.csv' file.
\end{enumerate}
\end{document}
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