MATB24H3 Study Guide - Final Guide: Linear Map, Scalar Multiplication, Binary Operation
Document Summary
Week 1: (real) vector space & binary operation. Example questions: state the definition of a real vector space. [basic definition: prove the zero element in a real vector space is unique. [proof by definition: fb page 189, question #3. [definition of binary operation: sa page 17, prove (-1)v = -v for all v [proof by definition, sa page 17, question #6 [definition of vector space, but a bit complex] Week 2: concept of vector space & subspace. Example questions: state the definition of a subspace s in vector space v, state the definition of vectors {v1, v2, , vn} are linearly independent to each other. State the definition of a linear combination of {v1, v2, , vn}. State the definition of sp{v1, v2, , vn: give an example of a subspace in r^3 other than r^3 itself. Give an example of a subspace in p^2 other than p^2 itself.
