The course goals are to understand basic concepts of linear algebra and introduce some aspects of computational techniques used in matrix methods. We will study systems of linear equations, Gaussian Elimination, the LU decomposition, vector spaces and subspaces, linear transformations and the fundamental subspaces of a matrix. Finally it all comes together with eigenvalues and eigenvectors and matrix decompositions (e.g. LU, QR, SVD, etc.) Prerequisite: A grade of C- or better in APPM 2350 or MATH 2400 or equivalent.