MATH221 Introductory Linear Algebra

Math 221: Introductory Linear Algebra topics covered in the course include the solution of systems of linear equations through Gaussian elimination; matrices and matrix algebra; vector spaces and their subspaces; coordinate mappings and other linear transformations; eigenvalues and eigenvectors; similarity and diagonalization; and constructions involving inner products such as orthogonal projections, the construction of Gram-Schmidt bases and least-square approximations. Although the course devotes a substantial amount of time to computational techniques, it should also lead the student to develop geometrical intuitions, to appreciate and understand mathematical abstraction, and to construct some elementary proofs.