Learn · Introduction to Abstract and Linear Algebra
Lecture 20 of 40Week 4 :
Lecture 20 : Field
Prof. Sourav Mukhopadhyay · IIT Kharagpur
Credits and licence
- From
- Introduction to Abstract and Linear Algebra, IIT Kharagpur (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Lecture 01 : Set Theory
- Lecture 02 : Set Operations
- Lecture 03 : Set Operations (contd.)
- Lecture 04 : Set of sets
- Lecture 05 : Binary relation
- Lecture 06 : Equivalence relation
- Lecture 07 : Mapping
- Lecture 08 : Permutation
- Lecture 09 : Binary Composition
- Lecture 10 : Groupoid
- Lecture 11 : Group
- Lecture 12 : Order of an element
- Lecture 13 : Subgroup
- Lecture 14 : Cyclic Group
- Lecture 15 : Subgroup Operations
- Lecture 16 : Left Cosets
- Lecture 17 : Right Cosets
- Lecture 18 : Normal Subgroup
- Lecture 19 : Rings
- Lecture 20 : Field
- Lecture 21 : Vector Spaces
- Lecture 22 : Sub-Spaces
- Lecture 23 : Linear Span
- Lecture 24 : Basis of a Vector Space
- Lecture 25 : Dimension of a Vector space
- Lecture 26 : Complement of subspace
- Lecture 27 : Linear Transformation
- Lecture 28 : Linear Transformation (cont...)
- Lecture 29 : More on linear mapping
- Lecture 30 : Linear Space
- Lecture 31 : Rank of a matrix
- Lecture 32 : Rank of a matrix (cont....)
- Lecture 33 : System of linear equations
- Lecture 34 : Row rank and Column rank
- Lecture 35 : Eigen value of a matrix
- Lecture 36 : Eigen Vector
- Lecture 37 : Geometric multiplicity
- Lecture 38 : More on eigen value
- Lecture 39 : Similar matrices
- Lecture 40 : Diagonalisable