In this course the students will learn about system of linear equations and their applications in real world problems. The whole course will primarily focus on finding solutions of systems of linear equations.  Along the way students will also learn key concepts such as echelon form and reduced echelon form, matrices and their properties, inverse of matrices, factorization of matrices, linear transformations, vector spaces and their subspaces, eigenvalues and eigenvectors for real matrices and inner product spaces.