This course addresses matrix algebra and solution of linear systems. Topics covered in this course 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.

MATH 021 or equivalent 2nd year calculus course.