Linear Sum and Direct sum || Vector space || Linear algebra

#M.Sc Maths #B.Sc NM #MCA # B.Tech. Mathematics.
Here you can watch proof of Theorems and Examples.

Vector spaces:
Vector space, sub spaces, Linear combinations, linear spans, Sums and direct
sums, Linear dependence, Bases and dimensions, Dimensions and subspaces, Coordinates and
change of bases.

Linear Transformations:
Linear transformations, rank and nullity, Operations with linear
transformations, Linear operators, Algebra of linear operators, Invertible linear operators, Matrix
of linear transformation, Matrices and linear transformation, Matrix of linear operator, Change of
basis, similarity.

Linear Functional:
Linear functional, Dual space and dual basis, Double dual space,
Annihilators, Transpose of linear transformation, Bilinear, Quadratic and Hermitian forms,
quadratic form.

Linear programming
Programming, Graphical Linear method, Simplex method, the dual of a linear programming
problem.

This video lecture of Linear Algebra | Examples & Theorems | Abstract Algebra | Examples & Solution By Definition | Problems & Concepts by Karan Sir Mathematics will help Engineering and Basic Science students to understand following topic of Mathematics:
1. Vector Space
2. Subspaces
3. Homomorphism and Isomorphism
4. Linear Transformation
5. Basis of a vector space
6. Inner Product Space
Full course - Abstract Algebra
Advance Abstract Algebra

# M.Sc Maths # Abstract Algebra # BSC Maths # GATE # IITJAM # CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing NET, GATE and IIT-JAM Aspirants.
Find Online Solutions Of Group Theory | Ring Theory I Abstract Algebra I Real Analysis I Complex Analysis I Examples & Theorems | Abstract Algebra | Problems & Concepts by Karan Sir Mathematics
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