MATH 2050U – Linear Algebra

This course is designed to develop the fundamental ideas of linear algebra, and to demonstrate some applications of linear algebra to other areas. Topics include the algebra of matrices; qualitative and quantitative solutions of systems of linear equations; determinants and matrix inverses; real and complex vector spaces, and subspaces, linear independence, bases, dimension and co-ordinates; inner product spaces and the Gram-Schmidt process; inconsistent (over determined) systems of equations, least squares solutions and regression; linear maps and matrices, change of basis and similar matrices; eigenvalues, eigenvectors and matrix diagonalization; diagonalization of real symmetric matrices and quadratic forms.
Credit hours: 3
Lecture hours: 3
Tutorial hours: 1
Prerequisite(s) or corequisite(s): MATH 1000U or MATH 1010U
Credit restriction(s): BUSI 1900U, MATH 1850U