Teja K

This course requires no formal prerequisites. Careful listening and working out the provided examples will be enough for learning it. Matrice is explained in the simplest way possible in this course.

IIT JEE 2020 and 2021 Main and Advanced exam preparation. Know about detailed syllabus, best books, exam pattern and dates. Cover previous year question papers and book solutions from great educators.

IIT JEE

JEE Main and Advanced Preparation

English

Learn Matrices for IIT JEE

Matrices 

Algebra

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

This video explains the very basics of matrices. The topics include 
1) definition of matrix
2) Terminology used in Matrices...
3) Order of a matrix

Introduction to the Matrices

In this lesson we'll learn about the different types of the Matrices which are:
1.Row matrix
2.Column matrix....
3.Null matrix
4.Square and rectangular matrices
5.Diagonal matrix
6.Scalar and Identity matrix
7.Upper and lower triangular matrices

Types of Matrices: Introduction to the Matrices: Part 2

In this lesson we'll learn 
1) addition and subtraction of matrices along with properties
2) Scalar multiplication along with properties

Matrix Algebra: Part 3A

In this lesson we'll learn about:
1)matrix multiplication and
2)properties of matrix multiplication
In the next lesson we'll discuss about transpose, properties of transpose and special matrices like symmetric and skew symmetric matrices

Matrix Algebra: Part 3B

In this lesson you will learn about
1) Transpose of matrix
2) Properties of Transpose
3) symmetric and skew symmetric matrices

Transpose , Symmetric and Skew Symmetric Matrices

In this lesson we'll learn about
1) Conjugate of matrix
2) transpose conjugate of matrix
3) properties of conjugate and transpose conjugate matrices
4) hermitian and skew hermitian matrices

Conjugate, Transpose conjugate matrix and special matrices-2

In this lesson we'll learn about
1) Determinant and
2) how to calculate determinant of matrices of order 
    i)1x1
    ii)2x2
   iii)3x3
   iv)4x4

Determinants

In this lesson we'll learn about
1) Properties of determinants
2) singular and non-singular matrices

Properties of determinants

In this lesson we'll learn about
1) Cofactor matrix
2) Adjoint or adjugate matrix
3) properties of adjoint matrix

Properties of adjoint

In this lesson we'll learn about definition of inverse of a matrix and we'll also learn about how to calculate inverse of
1)2x2 matrix
2)3x3 matrix (Shortcut)

Ps: please do let me know if the conventional method for inverse of 3x3 needs to be discussed. Based on the response, I will upload a seperate lesson on conventional method of 3x3 matrix inverse.

Inverse of 2x2 and 3x3 matrices

Properties of inverse of a matrix will be discussed in this lesson. I have even verified or given examples to most of the properties.

Properties of inverse of matrix

In this lesson we'll learn about the remaining special matrices which were not discussed in earlier lessons. The matrices discussed in the lesson are:
Idempotent matrix,
Periodic matrix,
Involutary matrix,
Nilpotent matrix,
Orthogonal matrix,
Unitary matrix.

Remaining special matrices

In this lesson we'll discuss about all the types of matrices ( including special matrices). The matrices discussed are:
Real and Complex matrices,
Row matrix, 
Column matrix,
Null matrix, 
Square and rectangular matrices, 
Diagonal matrix, 
Scalar and Identity matrix, 
Upper and lower triangular    matrices, 
Strictly triangular Matrix, 
Symmetric and skew symmetric matrices, 
Hermitian and skew hermitian matrices, 
Singular and non-singular matrices, 
Idempotent matrix, 
Periodic matrix,
Involutary matrix, 
Nilpotent matrix, 
Orthogonal matrix, 
Unitary matrix

All types of matrices (quick review)

In this lesson we'll learn about 1)trace of a square matrix
2) properties of trace of matrix
3) Area of triangle using determinants

Trace of matrix and Calculation of area of triangle using determinants

The topics discussed in this lesson are:
1) Sub-matrix
2) minor of a matrix
3) Rank of a matrix
4) Echelon form

Rank of a matrix and echelon form

Properties of rank of a matrix have been discussed in this lesson. Examples has also been discussed to verify the properties

Properties of rank

The basics required for understanding system of linear equations have been explained in this lesson. 
Basics like definition of linear equations, , what is meant by a system of equations, solutions of system, consistency etc have been discussed

Basics of system of linear equations

The topics discussed in this lesson are
1) Augmented matrix
2) Consistency of system of non-homogeneous and homogeneous linear equations
3) Examples on consistency

Consistent and Inconsistent systems

This lesson explains how matrices are used in encrypting and decrypting the data. This lesson may not be helpful for the JEE exam, but it will answer your question of "where matrices will be used?"

Application to encryption

In this lesson, some matrix problems which appeared in the previous exam papers have been solved.

Problems from previous papers

Just like in previous lesson, we are going to solve some more problems which appeared in previous exams

Problems from previous papers 2

This is the 3rd part of solved problems. We're going to discuss some more previous year question paper problems in this lesson

Problems from previous papers 3

Mandhan Academy
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Akash Mandhan

In this course, the educator discusses Sequence and Series which is useful for cbse students and also for iit jee mains Aspirants/

(Hindi) Sequence and Series-Algebra: IIT JEE

A game-changer in Mathematics, produced 100 percentilers multiple times, AIR 33 & 34 (Mains 2024), his courses are the Benchmark for IIT JEE

Vineet Loomba

In this course VL Sir will cover all the topics on matrices and determinants from basic to JEE Advanced Level. This course will comprehensively cover the whole syllabus of JEE Main, JEE Advanced, BITSAT, CBSE and State Boards, WBJEE, VITEEE etc.

(Hindi) Matrices Determinants (Zero to Hero) for JEE Main and Advanced : IIT JEE

This course serves as a quick revision module for matrices and determinants portion of JEE Main and Advanced (IIT-JEE). It aims to help the learners revise all the concepts in matrices determinants in a short span of time. Prepared by IITian VL Sir.

(Hindi) Revise Matrices Determinants in 70 minutes : IIT-JEE

An IIT-Delhi alumnus, mentor to top AIRs like 12 & 24, a specialist in Calculus, former faculty at Bansal Classes, Vibrant Academy & Etoos.

Manoj Chauhan

In this course, the educator is discussing concept involving mattresses chapter would be dealt with, with full illustrations and more methods you will get a clear inside about all the questions which are similar to those asked in IIT JEE mains and advanced exam

(Hindi) Matrices by Manoj Chauhan for IIT JEE Main and Advance

Maths faculty for JEE(Main & Advance)•
B.Tech from CUSAT, Kerala•
Cleared JEE MAIN in 2014 •

Aftab Alam

(Hindi) Determinants for IIT JEE

20+ years of Experience in Teaching Mathematics. Mentored 50,000+ students. Produced 100/100 score in Maths.


Vishal Mahajan

In this course, the educator is discussing Complex Numbers & Quadratic Equations for IIT JEE & CLASS 11

Lessons

22 lessons • 4h 49m