This course is a survey of systems of linear equations and matrices, Gauss elimination, matrices, matrix operations, inverses, elementary matrices, diagonal and triangular matrices, symmetric, skew symmetric matrices, determinants of square matrices, vectors in 2- and 3-dimensional space, norm, dot product, cross product, lines, planes, Euclidean vector spaces, linear mappings between Euclidean spaces, properties of linear mappings, general vector spaces, subspaces, linear independency, base and dimension, row, column and null spaces, rank and nullity, inner product, angle, orthogonality, Gramm-Schmidt process, change of basis, orthogonal matrices, eigenvalues, eigenvectors, matrix diagonalization, linear transformations, Kernel, range, isomorphism and inverse linear transformations.
Prerequisites: MATH 151
Course Syllabus