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Faculty of GATE. Top Educator - GATE (Engineering Mathematics). 

Sanjay Yadav

This course is designed as a complete course on Linear Algebra for the upcoming GATE examination.  It covers all the small topics which are mentioned in the syllabus and also described each and every short tricks to solve the problem in less time.

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 & ESE

Hindi

(Hindi) Crash Course on Linear Algebra - GATE

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

In this lesson we will discuss about the course structure, topics of linear Algebra for Engineering Mathematics, we will also discuss about the the outcome of this course, importance of Engineering Mathematics for the GATE examination. We will also understand about our strategy to learn the linear algebra for the GATE.

Introduction to Linear Algebra (in Hindi)

This is the first lesson of the course Linear Algebra, where we will discuss about the standard properties of a determinant, and some tips and techniques to tackle the problem of matrix in the GATE examination.

Matrix : Properties of Determinant (in Hindi)

In this lesson we will understand about the concept of Upper Triangular Matrix, Lower Triangular Matrix, Scalar Matrix, Diagonal Matrix, Identity Matrix,  We will also learn the trick to find the determinant of above said matrix. At the end of the lesson we will solve the problem based on the discussed concept.

Matrix : Upper and Lower Triangular Matrix (in Hindi)

In this lesson we will learn about how to find the determinant of a matrix which is order of 3 rows and 3 columns. We will understand how to apply the trick and method to simplify the problem. At then end of the lesson we will also solve problems based on this concept.

Finding Determinant of 3x3 Matrix (in Hindi)

In this lesson we will learn about how to find the determinant of a matrix which is order of 4 rows and 4 columns. We will understand how to apply the trick and method to simplify the problem. We will also solve problems based utilizing the concept that we learnt from the previous lesson.

Finding Determinant of 4x4 Matrix (in Hindi)

In this lesson we will understand the concept of Transpose of a matrix, properties of a Transpose. We will also understand about the symmetric matrix and condition to satisfy the symmetric matrix. We will also cover the topic skew symmetric matrix and understand it's properties as well. At the end of the lesson we will also cover the topic invertible and singular and non singular matrix.

MATRIX : Symmetric and Skew Symmetric Matrix (in Hindi)

In this lesson we will learn the concept how to find the inverse of matrix which is order 2 x 2. We will also learn the trick to remember to find the adjoint of matrix. We will  also solve many GATE oriented problems and also discuss about the problem which appeared in the GATE examination.

MATRIX : Inverse of a 2x2 Matrix (in Hindi)

In this lesson we will learn the concept how to find the inverse of matrix which is order 3 x 3. We will learn the concept of minor and cofactor in a matrix and  also learn how to find them with an example. We will also understand how to find the adjoint of matrix with an order 3x3

MATRIX : Inverse of 3x3 Matrix (in Hindi)

In this lesson we will solve problems on the Matrix algebra utilising our concept that we learnt so far. We will also solve the problem which appeared in the GATE examination from the topic linear algebra.

MATRIX: GATE Problem Series SET 1(in Hindi)

MATRIX : GATE Problem Series SET 2 (in Hindi)

In this lesson we will discuss about the properties of adjoint matrix. We have also validated those properties as well in step by step so we could remember it. This lesson also help us to understand how to establish the formula between inverse of matrix and adjoint of matrix

Properties of Adjoint Matrix (in Hindi)

MATRIX : GATE Problem Series SET 3 (in Hindi)

MATRIX: GATE Problem Series SET 4 (in Hindi)

MATRIX : GATE Problem Series SET 5 (in Hindi)

In this lesson we will understand the concept of sub matrix and minor.  We will also understand how to find the rank of matrix. Properties of Rank of Matrix is also explained in detailed way with an example

Rank of Matrix Part 1 (in Hindi)

In this lesson we will understand about the properties of Rank, we will also understand the concept of row echelon form and column echelon form and their properties.

Rank of Matrix Part 2 (in Hindi)

In this lesson we have solved the previous year GATE Problem and also GATE oriented problems on the topic Rank of Matrix.  We have understood the approach how to identify the rank of matrix while solving the problem.

MATRIX : GATE Problem Series SET 6 (in Hindi)

MATRIX : GATE Problem Series SET 7 (in Hindi)

In this lesson we will understand the concept of system of linear equations.  We will understand about consistent and inconsistent system. We will also understand about the concept of unique and infinite solution,  concept of Homogenous system of linear equation is also covered in this lesson.

System of Linear Equation (in Hindi)

In this lesson we will solve the numerical on the concept that we have learnt from the system of linear equation.  We will understand the concept how the system is determined as consistent and inconsistent.  We will also uderstand the concept of rank of augemented matrix and rank of coefficient matrix.

MATRIX : GATE Problem Series SET 8 (in Hindi)

MATRIX : GATE Problem Series SET 9 (in Hindi)

MATRIX : GATE Problem Series SET 10 (in Hindi)

In this lesson we will understand the concept of Eigen value and Eigen vector.  We will also solve the numerical utilising the concept of Eigen value and Eigen vector.

Eigen Value and Eigen Vector (In Hindi)

In this lesson we will understand the properties of Eigen value and based on these properties we will also solve the problems.  We will understand the concept of sum of the Eigen value is equals to the sum of principle diagonal elements,  and product of the Eigen values is equals to its determinant.

Properties of Eigen Value (in Hindi)

MATRIX : GATE Problem Series SET 11 (in Hindi)

MATRIX : GATE Problem Series SET 12 (in Hindi)

In this lesson we will understand the concept of Cayley Hamilton Theorem,  and utilize this concept in order to find the higher and negative powers of the given matrix.

Cayley Hamilton Theorem (in Hindi)

In this lesson we will understand the concept of Cayley Hamilton Theorem while solving the numericals.  We will also understand the PYQs GATE appeared from the topic Cayley Hamilton Theorem under linear algebra.

MATRIX : GATE Problem Series Set 13 (in Hindi)

This is the final lesson for the topic linear algebra,  which is under the course engineering mathematics.  We will solve the PYQs appeared from the topic Cayley Hamilton Theorem under linear algebra.

Linear Algbera: Course Completion (in Hindi)

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

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Lessons

29 lessons • 6h 8m