linear algebra is a branch of mathematics that deals with vectors, equations, matrices, and, more generally, vector spaces and linear transformations. To be more specific, linear algebra studies maps of the form $(x_1,x_2,\cdots, x_n)\mapsto a_1x_1+a_2x_2+\cdots a_nx_n$ and vectors. Linear systems are well understood through matrices. In this course, we will be concerned with the study of
\item Linear equations, which are equations of the form $a_1x_1+a_2x_2+\cdots a_nx_n=b$
\item Linear systems, which are collections of linear equations,
\item Finding solutions for linear systems using Gaussian elimination and Gauss-Jordan elimination,
\item Vector spaces and linear transformation,
\item Eigenvectors, and eigenvalues.
