MAT240H1: Algebra I

Hours

36L/24T

A theoretical approach to: vector spaces over arbitrary fields, including C and Z_p. Subspaces, bases and dimension. Linear transformations, matrices, change of basis, similarity, determinants. Polynomials over a field (including unique factorization, resultants). Eigenvalues, eigenvectors, characteristic polynomial, diagonalization. Minimal polynomial, Cayley-Hamilton theorem.

Prerequisite
High school level calculus
Corequisite
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)