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.

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CSIR-UGC NET

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Matrices and System of Linear Equations : CSIR-UGC NET

Matrices and Determinants

Linear Algebra

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

This lesson includes basics about matrices,their representations,trace and inverse of a matrix.

Basics of Matrices

This lesson includes topics on important properties of trace and determinant.

Properties of Trace and Determinant

This lesson includes properties of trace and adjoint of a matrix.

Transpose and Adjoint Properties

This lesson continues with properties of adjoint of a matrix,about scalar and diagonal matrix.

Special Type of Matrices Part 1

This lesson covers properties of diagonally and strictly diagonally dominant matrices,integer matrices and atomic triangular matrices.

Special Type of Matrices Part 2

This lesson covers important properties of symmetric,skew symmetric and orthogonal matrices.

Special Type of Matrices Part 3

This lesson covers properties of important matrices like hermitian,skew hermitian,orthogonal,normal,idempotent etc.

Special Types of Matrices Part 4

This lesson covers certain properties and their proofs plus the properties of permutation matrices are also discussed.

Special Type of Matrices Part 5

This lesson includes block matrices and easy to find out the determinant of such matrices.

Block Matrices

This lesson discusses problems asked during the exams.Do check them out.

Easy Problems

This lesson covers problems on special type of Matrices

Problems on Special Type of Matrices

This lesson covers an introduction to the rotation matrices and its properties.

Rotation Matrix

This lesson covers an important theorem concerning elementary matrices and inverses.

Theorem : Elementary Matrices and its Inverse

This lesson covers simplified version of elementary matrices and their inverses.

Elementary Matrices and its Inverse

This lesson contains description of Gauss Elimination Method.

Gauss Elimination Method

This lesson discusses Rank of a matrix and some of its properties.

Rank of a Matrix

This lesson discusses mainly about types of solutions in system of linear equations.

System of Linear Equations and Types of Solutions

This lesson discusses an application of the relation of Rank of a matrix and its singularity.

Application of Rank and Singularity of a Matrix

This lesson discusses problem concerning systems of linear equations and its solutions.

Problems in System of Linear Equations

This lesson covers problems mainly on rotation matrices and rank of a matrix.

Problems in Rotation Matrix

I have completed M.sc. physics from university of rajasthan. And currently taking classes for 11th,12th, and IIT-JEE,NEET.

Dhruv Rawal

Mathematical physics
:-Matrices and Property of Matrices.

(Hindi) Matrices and Property of Matrices: 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

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Ravi Mittal

In this basic course of linear transformations, the educator will cover the basic concepts of Linear transformation and some questions for practice.

(Hindi) Course on Linear Transformation: CSIR-UGC NET

This section of linear algebra introduce the concept of vector space. a vector space is the collection of vectors, which may be multiplied or added together and multipled by a numbers, called scaler.

(Hindi) Vector Space and Subspace : CSIR-UGC NET

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

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.

Lessons

20 lessons • 2h 54m

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Basics of Matrices

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Properties of Trace and Determinant

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Transpose and Adjoint Properties

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Special Type of Matrices Part 1

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Special Type of Matrices Part 2

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Special Type of Matrices Part 3

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Special Types of Matrices Part 4

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Special Type of Matrices Part 5

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Block Matrices

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Easy Problems

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