Week 01-02

Learning outcomes

In this chapter vector space we will learn about what are vector space,how we use different axioms to find the vector space, expression of large vector in to small vector, how vector are expressed as a Linear combination of others, procedure for finding basis.

lesson plan:

lecture 01:

Real vector space, show that given vectors are vector space or not

Lecture 02:

subspaces

Lecture 03:

linear independence

Lecture 04:

coordinates &basis

lecture 05:

change of basis

lecture 06:

procedure of computing basis