Linear Algebra

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.

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