Unlock Code - AnushaJ | Plus Educator | Assistant Professor | 5 years Teaching experience | Telegram Channel - MATHSQUARE

Anusha Jain

This course will cover almost all the topics of pure Mathematics according to  CSIR NET/ JRF & GATE Syllabus... 
   In this course, each and every point is well explained from basic so that it can be beneficial if you unaware about topic also.

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

Hindi

(Hindi) Pure Mathematics for CSIR NET/ JRF: Part I

Polynomials

Linear Algebra

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

In this course overview I have listed down names and wattages of the subjects i am going to cover. 

Do watch this course overview lesson these will give you an overall perspective of CSIR NET/JRF & GATE (Mathematics).

BEST OF LUCK

Course Overview (in Hindi)

In this lesson, I'll explain the Introduction of matrices and will cover some of its basic points.

Matrices: Introduction (in Hindi)

In this lesson, I'll explain about Algebra of Matrices like Addition of two matrices, Substraction of two matrices, Multiplication of matrices, Equality of two Matrices and we'll also solve some problems related to them.

Matrices: Algebra of Matrices (in Hindi)

In this lesson, I'll explain types of Matrices such as-
Transpose matrix,
Conjugate matrix,
Transpose conjugate matrix,
Upper traingular & Strict upper traingular matrix,
Lower traingular & Strict lower traingular matrix,
Diagonal matrix,
Scalar matrix,
Identity matrix,
Idempotent matrix.

Matrices- Types of Matrices:Part-1 (in Hindi)

In this lesson, I explained types of matrices~
Orthogonal matrix,
Involuntary matrix,
Nilpotent matrix.

Matrices- Types of Matrices: Part-2 (in Hindi)

In this lesson, we will discuss about properties of Nilpotent Matrix,
And types of matrices and their properties-
Orthogonal matrix,
Unitary matrix.

Matrices-Types of matrices: part-3 (in hindi)

In this lesson, we discuss about types of matrices and their properties-
Symmetric matrix,
Skew symmetric matrix,
Hermitian matrix,
Skew hermitian matrix.

Matrices-Types of matrices:part-4(In Hindi)

In this lesson, we will discuss about Determinant of matrices and some definations which are related to the same.

Matrices-Determinant of Matrices:part-1(Hindi)

This lesson cover Determinant of Matrices and their properties.

Matrices-Determinant of Matrices:part-2(Hindi)

Here we will discuss about Rank of Matrices and solve some problems which are related to the same.

Matrices- Rank of Matrices:part-1 (In Hindi)

In This video, we will discuss about Rank of Matrices and their properties, and also explained System of linear Equations: Homogeneous and Nonhomogeneous system of linear equations.

Matrices-Rank of Matrices: part-2(In Hindi)

Here, we are going to discuss about eigen values and eigen vectors of matrices and studying on some facts related to the same.

Eigen values and Eigen vectors:part-1(In hindi)

In this lesson, we are going to discuss about eigen values and eigen vectors of matrices, and studying on some facts which are related to the same.

Eigen values and Eigen vectors:part-2 (In hindi)

This lesson cover some Important defination which are related to the matrices and Important for CSIR NET/JRF exams

Matrices:Important Definations(In hindi)

Jordon canonical form is Important topic for NET/JRF exam, This video is helpfull for all NET aspiriant.

Matrices:Jordon canonical form(In hindi)

Here we will study on Real quadratic form, complex quadratic form and when two quadratic forms are equivalent and congruent to each other.

Matrices:Quadratic form(In Hindi)

Here, we will study on Some Real forms of Quadratic form:
Positive definite,
Positive semi definite,
Negative definite,
Negative semi definite,
Indefinite.

Matrices:Classification of Quadratic Forms( In Hindi)

Here we will study on Set Theory with some examples of fundamental sets and also discuss on group theory.

Linear Algebra: Set and Group theory

In this lesson, We will study on vector spaces, which is most important basic topic for linear algebra in Mathematics.

Linear Algebra:Introduction of Vector Spaces(In Hindi)

Here we will study on subspaces of vector space, also include algebra of subspaces and will study on some definition which are related to the same.

Linear Algebra: Subspaces:part-1(In Hindi)

This is second lesson on the topic of subspaces in linear Algebra.

Linear Algebra- Subspaces:Part-2(In Hindi)

In this video, we will learn how to check linear dependence or linear independence of any set of vectors from vector space.

Linear Algebra-Linear dependence and linear independence: Part-1(In Hindi)

In this video, we will solve some more problems related to linear dependence and linear Independence.

Linear Algebra-Linear Dependence and linear Independence:Part-2( In Hindi)

In this lesson, we will study on basis, dimension of vector spaces and finite dimension vector spaces.

Linear Algebra: Basis and Dimension(In Hindi)

In this lesson, we will learn How to find dimension of vector spaces with the help of standard basis.

Linear Algebra: Standard basis(In Hindi)

Here we will study on ordered basis and coordinate,
  And also study on quotient spaces and discuss some properties related to cosets from quotient spaces.

Linear Algebra:Ordered basis and coordinate,Quotient Space( Hindi)

Here I will study on linear transformation(linear mapping / vector space homomorphism) and also study on Range space, Null(Kernal) space, Rank of transformation and nullity of transformation.

Linear Algebra:Linear transformation, Range space,Null space(Hindi)

In this video, we will cover some Important Transformation:
Non-singular Transformation,
Singular Transformation,
One-one Transformation,
Onto Transformation and
Bijective Transformation

Linear Algebra: Some Important Transformation (Hindi)

In this lesson, we will read about composite functions and will also check when the composite function is 1-1 and when it onto.

Linear Algebra: Composition of function(In Hindi)

Here, we will read about Isomorphism of vector spaces and will also read about linear functional which cover two defination related to same as- dual basis and Annihilator of any set of vectors.

Linear Algebra: Isomorphism, linear functional (Hindi)

Here, we will discuss about projection of a vector to the another vector.

Linear Algebra: Projection(In Hindi)

Here, we will study about Transformation of Vectors under rotation and solve some problems related to the same

Linear Algebra: Rotation of vectors(Hindi)

Here, we will study on Transformation of vectors under reflection and transformation of vectors under scaling.

Linear Algebra: Reflection of vectors and Scaling of vectors(In Hindi)

Here, we will study on Matrix representation of linear transformation.

Linear Algebra: Matrix Representation of linear transformation(Hindi)

Here, we will solve some problems of Matrix representaion of linear transformation.

Linear Algebra: Matrix Representaion of linear transformation(Part-2)

Here, we will Introduce Inner product space.

Linear Algebra: Inner product space( In Hindi)

Here, we will discuss standard inner product space of some vector spaces which is defined over Real or complex field.

Linear Algebra: standard Inner product space( Hindi)

Here, we will study on norm or length of vector from Inner product space and will learn how to find norm of vectors with solve some examples.

Linear algebra: Norm of vector in an I.P.S.(In Hindi)

Here, we will study on Normed linear space in inner product space, for this you should have the prior knowledge of norm of vector and inner product space.

Linear algebra: Normed linear space( Hindi)

Here, we will learn about orthogonality such that 
How are two vectors are orthogonal to each other,
What is the orthogonal sets
And discuss on how a vector is a orthogonal to a set.

and will also check dependency and independency of orthogonal sets.

Linear algebra: Orthogonality (Hindi)

Here, we will study on orthonormality of set of vectors and discuss the gram schmidt orthogonalisation process for find the orthonormality basis of any inner product space with the help of basis of inner product space.

Linear Algebra: Orthonormality (Hindi)

Unlock Code:  raviMLive 
CSIR-UGC Net qualified  AIR-26| IIT JAM qualified | 6+ years of teaching experience| Guided 100+ qualified candidat

Ravi Mittal

In this course, the educator will discuss Caley Hamilton Theorem and the concept of diagonalization. The minimal polynomial and trick to find the minimal polynomial will also be discussed for CSIR-UGC NET.

(Hindi) Caley Hamilton Theorem and Concept of Diagonalization - CSIR-UGC NET

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Pankaj Kumar

This Course contains beautiful explanation of fundamentals of Linear Algebra by following the books Friedberg, D.C. Lay and Hoffmann and Kunze with the Concept wise discussion of CSIR NET JRF/ IITJAM Question Bank.

Linear Algebra: CSIR-UGC NET

In this course, the educator will discuss the some basic concepts of eigen values and eigen vectors along with the some short tricks to find eigen values.

(Hindi) Eigen Values and Eigen Vectors - CSIR UGC NET

In this course i will discuss about the jordan canonical form for CSIR-UGC NET aspirants

(Hindi) CSIR-UGC NET: Course on Jordan Canonical Form

It contains beautiful fundamentals of Linear Algebra from Friedberg, D.C.Lay, Hoffmann and Kunze with previous year conceptwise discussion of CSIR NET JRF + IIT jam Questions.

(Hindi) Linear Algebra: CSIR-UGC NET

Ashitha Sivadas

This course covers topics on mainly matrices and system of linear equations and certain problems concerning that,which are very important for the coming exams.

Lessons

41 lessons • 8h 54m

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Course Overview (in Hindi)

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Matrices: Introduction (in Hindi)

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Matrices: Algebra of Matrices (in Hindi)

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Matrices- Types of Matrices:Part-1 (in Hindi)

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Matrices- Types of Matrices: Part-2 (in Hindi)

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Matrices-Types of matrices: part-3 (in hindi)

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Matrices-Types of matrices:part-4(In Hindi)

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Matrices-Determinant of Matrices:part-1(Hindi)

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Matrices-Determinant of Matrices:part-2(Hindi)

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Matrices- Rank of Matrices:part-1 (In Hindi)

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