Loves Maths, Painting, Drawing and Travelling :)

Keerthi Allam

This is a course on linear algebra. It covers the most important topic of Mathematics paper 1 UPSC mains - Linear Algebra. It is useful for the candidates who have taken maths as optional subject in upsc cse examination, engineering students and gate aspirants.

GATE (Graduate Aptitude Test in Engineering) 2020 & 2021 complete preparation with best educators. Know about the detailed syllabus, best books, exam pattern and dates, previous year question papers a

GATE - Iconic Pro

English

Linear Algebra for UPSC CSE - Maths optional

Mathematics

Quantitative Aptitude

UPSC - Civil Services Examination (IAS) Preparation

Linear Algebra

Engineering Mathematics

GA, GS and Mathematics

GATE & ESE - ME & CH

GATE, ESE and IIT-JAM

Ace the toughest competitive and government exams in India 

Test Preparation

Linear Algebra - overview lesson. This lesson deals with the objective of the course, target audience and the brief details of the course.

Linear Algebra - Overview Lesson

This lesson deals with the Determinants, cofactors, Laplace expansion and properties of determinants with some examples.

Determinants

This lesson deals with the Matrices, types of matrices and different matrix operations, transpose, adjoint and inverse of a matrix.

Matrices

In this lesson, the concepts of rank of a matrix, elementary matrices and Gauss Jordan method of finding inverse are explained with examples.

Rank and Gauss Jordan Method of Finding Inverse

In this lesson, normal form or PAQ method, finding rank using PAQ method, Partition method of finding inverse is explained very well with examples.

Normal form and Partition Method to find Inverse

In this lesson, solution of linear system of equations is explained using Cramer's rule and Matrix Inversion method with examples.

Cramers Rule and Matrix Inversion Method

In this lesson, consistency of linear system of equations, Rouche's method and procedure to solve system of linear homogeneous equations is explained.

Rouche's Theorem and System of Linear Homogeneous Equations

In this lesson Orthogonal and Linear transformations are explained.

Linear and Orthogonal Transformations

This lesson explains the concept of vectors, linear dependence, eigen values and eigen vectors with examples

Linear Dependence, Eigen Vectors and Eigen Values

In this lesson the properties of Eigen values are explained.

Properties of Eigen Values

In this lesson, Cayley Hamilton's theorem, reduction of a matrix to its diagonal form and similarity of matrices is explained well with appropriate examples.

Cayley Hamilton Theorem and Reduction to Diagonal Form

In this lesson the concepts of the powers of a matrix and reduction of quadratic form to canonical form are explained.

Powers of a matrix and reduction of Quadratic form to Canonical form

In this lesson example of reducing quadratic form to canonical form is explained and also the nature of quadratic form is discussed.

Nature of Quadratic form

In this lesson the complex matrices, complex conjugate of a matrix, hermitian matrix, skew hermitian matrix and its properties are explained.

Complex matrices - Hermitian and Skew Hermitian matrices

In this lesson unitary matrix concept of complex matrices and its properties are explained. Examples related to complex matrices are also discussed.

Complex matrixes - Unitary matrix

Some of the queries asked in the comments section related to the topics covered in this course are answered here with examples wherever required.

Doubts clarification - session 1

IITian| 7+Yr of Teaching Experience| Join me for Unmatchable learning Experience | Teaches GA, GS & Engineering Mathematics

Aman Raj

In this course, the educator discusses all the topics of linear algebra that are important for GATE and ESE Exams in detail.

Complete Course on Linear Algebra: GATE (Mathematics)

In this course, Aman Raj will discuss Linear Algebra from basics. It will be helpful for all branch GATE aspirants..

(Hindi) Linear Algebra - GATE(Mathematics)

Download Shrenik Jain - Study Simplified App to study LIVE  from Shrenik Jain sir 

Shrenik Jain Study Simplified

In this course, Shrenik Jain discusses all important topics from Linear Algebra. He also takes you through all previous year GATE questions along with their solutions.

(Hindi) All About Linear Algebra: GATE

Maths Olympiad Winner & Ph.D Scholar in department of ME, IIT Patna.

Dr Deepak Kumar

In this course, Deepak Kumar discusses Matrix Unit for GATE.

Engineering Mathematics: Matrix Unit for GATE

In this Course all topics related to Calculus will be discussed in detail from very basic..Some important questions of Gate will be also discussed

(Hindi) Complete Course on Calculus

In this course educator will discuss concepts,formulas and problems on Laplace equation. It is very important for GATE aspirants.

Lessons

16 lessons • 3h 18m

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Linear Algebra - Overview Lesson

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Determinants

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Matrices

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Rank and Gauss Jordan Method of Finding Inverse

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Normal form and Partition Method to find Inverse

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Cramers Rule and Matrix Inversion Method

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Rouche's Theorem and System of Linear Homogeneous Equations

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Linear and Orthogonal Transformations

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Linear Dependence, Eigen Vectors and Eigen Values

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Properties of Eigen Values

+ See all lessons