Linear Algebra
Systems of linear equations; vector space of n-tuples, subspaces and bases; matrix transformations, kernel, range; matrix algebra and determinants. Dot product. Complex numbers (including de Moivre's Theorem, and n-th roots). Eigenvalues, diagonalization and applications. Note: MATH 1119 is not an acceptable substitute for BIT 1201 .
2021
Topics
- Vectors and Lines in 2D and 3D. Dot product 1.1-1.3
- Planes in 3D. Complex numbers 1.4, 1.5
- Systems of linear equations 2.1-2.5
- – Feb 4 Matrix operations 3.1-3.4
- Matrix inverses. Elementary matrices 3.5, 3.6
- Determinants 4.1-4.5
- – Mar 4 Vector space Rn 5.1-5.5
- Linear transformations 6.1-6.5
- Subspaces of Rn 7.1-7.3
- The Invertible Matrix Theorem. Eigenvalues 7.4, 8.1, 8.2
- – Apr 1 Eigenspace. Diagonalization 8.3, 8.4
- Applications 9.1-9.3
- 12 Review
Prerequisites & course information
Precludes additional credit for BIT 1001 , BIT 1101 , MATH 1102 (no longer offered), MATH 1104 , MATH 1107 , MATH 1119 , MATH 1152 , MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 . Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 , or equivalent, or permission of the School. restricted to students in the B.I.T. degree program. Lectures three hours a week, tutorial and laboratory one hour a week.
Sources
- Course catalogue ↗2026–2027
- BIT 1201A W22 ↗2021