I am an electronics engineer | 3 yrs teaching experience

Deepak Poonia

In this course, Deepak will help you learn all the concepts of Matrices.Syllabus for this course is-
1.Algebra of matrices
2.Inverse and rank of a matrix
3.System of linear equations
4.Symmetric, skew-symmetric and orthogonal matrices
5.Determinants of matrices
6.Eigenvalues and Eigen vectors
7.Cayley-Hamilton Theorem
 This course also contain the solution for all previously asked GATE questions on MATRICES.

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

English

Matrix For GATE/ESE

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, Deepak has given a complete overview for the course MATRIX.

Course Overview

In this lesson, Deepak has explained the three conditions available while finding out the solutions of 3 variable equations and how we will use Matrices to find out these solutions.

Why We Study Matrices?

In this lesson Deepak has given an introduction of Matrices. He has also explained square, rectangular , null and diagonal matrices.

Introduction to Matrices

In this lesson, Deepak has explained different type of matrices available to us. He has also solved a question on the same.

Type of Matrices

In this lesson, Deepak has explained the addition operation of matrices and he has also provided the properties of it.

Operations of Matrices (Part-1)

In this lesson, Deepak has explained the substraction operation and multiplication of a scalar to a matrix operation.

Operations of Matrices (Part-2)

In this lesson, Deepak has explained the operation of multiplication of two Matrices.

Multiplication of Matrices

In this lesson, Deepak has first classified matrices into real and complex matrices. He further classified real matrices into symmetric,skew symmetric and orthogonal matrices.

Classification of Real Matrices

In this lesson, Deepak has  classified complex Matrices into Hermition, skew Hermition and unitary matrices. He has also explained the transpose conjugate operation in this lesson.

Classification of Complex Matrices

In this lesson, Deepak has explained the method for finding out the determinant of a 3*3, 2*2 and 1*1  matrix.

Determinant of a Matrix

In this lesson, Deepak has explained a trick for finding out the determinant of a higher order matrix. He has also discussed some properties for the determinant of a matrix.

Tricks to find determinant of a Matrix (Part-1)

In this lesson, Deepak has explained some more properties for finding out the determinant of a matrix.

Tricks to find determinant of a Matrix (Part-2)

In this lesson, Deepak has explained the conventional method for finding out inverse of a matrix. He has also discussed a trick for finding out inverse of a 2*2 matrix. Some properties of adj A matrix and inverse of a matrix are also discussed here.

How to find Inverse of a Matrix

In this lesson, Deepak has given the list of operations which are considered as elementary transformations and how one can use these elementary transformations to find the determinant of higher order matrices in quick time.

Elementary transformations on a Matrix

In this lesson, Deepak has solved some previously asked GATE questions on the matrix topics that we have covered till now in this course.

Previous year GATE questions (Part-1)

Previous year GATE questions (Part-2)

Previous year GATE questions (Part-3)

Previous year GATE questions (Part-4)

Previous year GATE questions (Part-5)

In this lesson, Deepak has explained the concept for Rank of a matrix and the conventional method for finding the rank of a matrix using minors.

Rank of a matrix

In this lesson, Deepak has explained the method for finding rank of a matrix using echelon form.

Tricks to find Rank of a Matrix

In this lesson, Deepak has solved some previously asked GATE questions on rank of a matrix.

Previously asked GATE questions on Rank of a matrix

In this lesson, Deepak has explained the method for solving a system of non-homogeneous linear equations using Matrices.

System of non-homogeneous linear equations

In this lesson, Deepak has explained the method for solving a system of homogeneous linear equations using Matrices.

System of homogeneous linear equations

Previously asked GATE questions (Part-6)

Previously asked GATE questions (Part-7)

Previously asked GATE questions (Part-8)

Previously asked GATE questions (Part-9)

Previously asked GATE questions (Part-10)

Previously asked GATE questions (Part-11)

Previously asked GATE questions (Part-12)

Previously asked GATE questions (Part-13)

Previously asked GATE questions (Part-14)

Previously asked GATE questions (Part-15)

In this lesson, Deepak has solved some previously asked GATE questions on the matrix topics that we have covered till now in this course and also some sample questions that may be asked in GATE examination.

Previously asked GATE questions (Part-16)

In this lesson, Deepak has explained the concept of Eigen values and Eigen vectors. He has also discussed the an example to show the procedure for finding out the Eigen values of a matrix.

Eigen values

In this lesson, Deepak has explained few properties for Eigen values of a matrix.

Properties of Eigen values (Part-1)

Properties of Eigen values (Part-2)

In this lesson, Deepak has explained the concept of Eigen vectors and provided a conventional method for finding out the Eigen vector of a matrix. He has also discussed some properties of Eigen vectors.

Eigen vectors

In this lesson, Deepak has solved some previously asked GATE questions on Eigen values.

GATE questions on Eigen values (Part-1)

GATE questions on Eigen values (Part-2)

Gate questions on Eigen values (Part-3)

In this lesson, Deepak has solved some previously asked GATE questions on Eigen vectors.

Gate questions on Eigen vectors (Part-1)

In this lesson,Deepak has solved some previously asked GATE questions on Eigen vectors.

Gate questions on Eigen vectors (Part-2)

In this lesson, Deepak has solved some previously asked GATE questions on Eigen values and Eigen vectors.

Gate questions on Eigen values and Eigen vectors (Part-1)

Gate questions on Eigen values and Eigen vectors (Part-2)

In this lesson, Deepak has solved some previously asked GATE questions on Eigen values and Eigen vectors

Gate questions on Eigen values and Eigen vectors (Part-3)

Gate questions on Eigen values and Eigen vectors (Part-4)

Gate questions on Eigen values and Eigen vectors (Part-5)

Gate questions on Eigen values and Eigen vectors (Part-6)

Gate questions on Eigen values and Eigen vectors (Part-7)

Gate questions on Eigen values and Eigen vectors (Part-8)

Gate questions on Eigen values and Eigen vectors (Part-10)

Gate questions on Eigen values and Eigen vectors (Part-11)

Gate questions on Eigen values and Eigen vectors (Part-12)

Gate questions on Eigen values and Eigen vectors (Part-13)

Gate questions on Eigen values and Eigen vectors (Part-14)

Gate questions on Eigen values and Eigen vectors (Part-15)

In this lesson, Deepak has explained the concept of Cayley Hamilton theorem and along with that he has also explained the orthogonality and orthonormality of vectors. He has also discussed the definition of similar and equivalent matrices.

Cayley Hamilton theorem

In this lesson, Deepak has solved some previously asked GATE questions on Cayley Hamilton theorem.

Gate questions on cayley Hamilton theorem (Part-1)

Gate questions on cayley Hamilton theorem (Part-2)

In this lesson, Deepak has solved some previously asked GATE questions on miscellaneous topics.

Miscellaneous Gate questions

In this lesson, Deepak has explained three methods for checking the linear dependency and independency between given set of vectors.

Linear dependency and independency of vectors

In this lesson, Deepak has explained about vectors and vector space.

Set of Vectors

In this lesson, Deepak has explained about vector space and it's properties. He has also discussed some examples to show the procedure of checking that whether a set of vector can be termed as vector space or not.

Vector space

In this lesson, Deepak has explained the concept of vector subspace and span.

Vector subspace (part-1)

In this lesson, Deepak has explained the relation between span and vector subspace.

Vector subspace (Part-2)

In this lesson, Deepak has explained some previously asked GATE questions on set of vectors.

Previously asked GATE questions on set of vectors

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Lessons

69 lessons • 13h 31m

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Course Overview

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Why We Study Matrices?

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Introduction to Matrices

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Type of Matrices

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Operations of Matrices (Part-1)

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Operations of Matrices (Part-2)

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Multiplication of Matrices

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Classification of Real Matrices

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Classification of Complex Matrices

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Determinant of a Matrix

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