Description

Vector space/subspaces, vector spaces of finite dimension, linear independence, basis, generating set, Linear application, change of basis, diagonalization, triangularization, exponential of matrices.

Compétences visées

At the end of this course, students will be able to explain some theoretical underpinnings of linear algebra. For example, students should be able to prove whether a set is a vector space or vector subspace, determine generating set and basis of a vector space, determine the dimension of a vector space and subspace, transform from one basis to another, diagonalize and triangularize a matrix, find exponents of matrices. Students will also be able to practice critical thinking skills by demonstrating understanding of the concepts encountered in both computational and theoretical contexts. They will also learn and improve their proof writing skills.