MATH-431 Linear Algebra
Systems of linear equations, Gaussian elimination, matrices and their algebra, inverse of a matrix, determinants, cofactor expansion, Cramer's rule, vectors and their algebra, abstract vector spaces, subspaces, linear independence, basis and dimension, linear transformations, isomorphism of vector spaces, rank and nullity, matrix of a linear transformation, inner product spaces, angle and orthogonality, eigenvalues and eigenvectors of a linear transformation, characteristic equation, Cayley-Hamilton theorem, diagonalization.
Prerequisite
Student has completed all of the following course(s) MATH 331 - Introduction to Advanced Mathematics with grade greater than or equal to C (Undergraduate Grading Scheme).