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\documentclass[12pt]{article}
\title{Matrices and Solution of Equations}
\author{FOSSEE}
\begin{document}
\date{}
\vspace{-1in}
\begin{center}
\LARGE{Matrices and Solution of Equations}\\
\large{FOSSEE}
\end{center}
\section{Matrices}
Inputting a Matrix
\begin{verbatim}
In [1]: A = matrix([[1, 2, 3],[4, 5, 6]])
\end{verbatim}
Matrix Operations
\begin{verbatim}
In [1]: A.T # Transpose
In [2]: sum(A) # Sum of all elements
In [3]: A+B # Addition
In [1]: A*B # Product
In [1]: inv(A) # Inverse
In [1]: det(A) # Determinant
\end{verbatim}
Eigen Values and Eigen Vectors
\begin{verbatim}
In [1]: eig(A) #Eigen Values and Vectors
In [2]: eigvals(A) #Eigen Values
\end{verbatim}
Norm
\begin{verbatim}
In [1]: norm(A)
\end{verbatim}
Single Value Decomposition
\begin{verbatim}
In [1]: svd(A)
\end{verbatim}
Solving a set of equations
\begin{verbatim}
In [1]: A = matrix([...]) # Input Equation Coefficient Matrix
In [2]: b = matrix([...]) # Equation Target Values
In [3]: x = solve(A, b)
In [4]: Ax = A*x
\end{verbatim}
\end{document}
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