Week 4#
Lecturer: G Venkiteswaran, Faculty for BITS Pilani
Date: 22/Aug/2021
Topics Covered#
- Field
- Vector Space
- Inner Product
- Linear Dependence and Independence of Vectors
- Basis and Dimension
Field#
Axioms
Vector Space#
Axioms:
Inner Product#
Linear Dependence and Independence of Vectors#
S_1 = {1rs Note, 5rs Note}
Here S is not independent since 5 1rs notes can become 5rs
S_2 = {Coffee powder, Water, Milk, Sugar}
Here S is linearly independent
Basis and Dimension#
