This course introduces students to matrix algebra and solution of linear systems. Topics include Gaussian elimination, fundamental theory, row-echelon form; Computer methods. Vector spaces, subspaces, bases and linear independence, dimension, column spaces, null spaces, rank and dimension formula; orthogonality, orthonormal sets, Gram-Schmidt orthogonalization process, least square approximation; eigenvalues and eigenvectors, diagonalization of matrices, linear transformations, determinants; diagonalization; the real and complex number fields.