Systems of linear equations; matrices and matrix operations; homogeneous and nonhomogeneous systems; Gaussian elimination; elementary matrices and a method for finding; determinants; Euclidean vector spaces; linear transformations from to and their properties; general vector spaces; subspaces; basis; dimension; row space; column space; null space of a matrix; rank and nullity; inner product spaces; eigenvalues and diagonalization; linear transformations.
Textbook:
H. Anton and C. Rorres, Elementary Linear Algebra (11th edition), Wiley, 2014.
