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diff --git a/Tutorial01-Basics/Problems/Tut01.tex b/Tutorial01-Basics/Problems/Tut01.tex new file mode 100644 index 0000000..e7318ee --- /dev/null +++ b/Tutorial01-Basics/Problems/Tut01.tex @@ -0,0 +1,23 @@ +\documentclass[10pt,a4paper]{article} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\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 Problem2.csv file. +\end{enumerate} +\end{document}
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