**MATH 112**

**Introduction to Linear Algebra**

**Units: 3.00**

A brief introduction to matrix algebra, linear algebra, and applications. Topics include systems of linear equations, matrix algebra, determinants, the vector spaces Rn and their subspaces, bases, co-ordinates, orthogonalization, linear transformations, eigenvectors, diagonalization of symmetric matrices, quadratic forms.

**Learning Hours:**120 (36 Lecture, 84 Private Study)

**Requirements:**Prerequisite None. Exclusion MATH 110/6.0; MATH 111/6.0. Recommended At least one 4U Mathematics course.

**Course Equivalencies:**MATH 110B/112 / APSC 174

**Offering Faculty:**Faculty of Arts and Science

**Course Learning Outcomes:**

- Apply the above skills to complex problems (eg. error correcting codes, dynamical systems, games on graphs and probability).
- Compute eigenvalues and eigenvectors and understand their utility.
- Manipulate matrix equations and compute their determinants and inverses.
- Solve systems of linear equations and visualize the related geometry.
- Visualize and express algebraically the geometry of lines and planes.
- Work with linear and affine transformations and relate them to matrices.