Researcher Nanotech.|Area of Research:- Nano-thin films|B.Tech Honours (ECE)|10 CGPA Math.&Sci.| Qualified UPSC CDS-W(2-2017,1&2-2018)

Pooja Punetha

The course is a 'complete package' on linear Algebra. 

The course is designed using three step approach, i.e., introduction, application and expertise, such that it can benefit a larger pool of student community all over the world.

The course focuses on crystal clear understanding of concept (even the most basic thing is discussed) and on tricks and shortcuts that can save time at examination hall.

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

Foundation Course - Mathematics (Linear Algebra)

Matrices 

Algebra

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

This is an overview lesson, for foundation course on linear algebra. The course is designed to strengthen the basic concepts of linear algebra in a student's mind and is based on reverse engineering of interest.

[English] Overview: Foundation Course on Linear Algebra

Topics Covered: Matrix, Rectangular and Square Matrix, Identity Matrix, Idempotent Matrix, Diagonal Matrix, Matrix Addition, Subtraction, Multiplication, Trace of a Matrix, Concept of Scalar Multiplication to a Matrix+ Assignment-1

This lecture gives an insight to some basic concepts related to a matrix. In first part we will learn about definition and terms related to a matrix, in second part we will learn about matrix addition, subtraction and multiplication. Third part is an application of concepts learned in first ànd second part.

[English] L1 Introduction to Matrices and Matrix Algebra

Topics Covered: Row Matrix, Column Matrix, Upper and Lower Triangular Matrix, Concept of Triangular Matrix, 3x3 Matrix Multiplication, Determinant of a 2x2 Matrix (P.S. Here for only this topic do recommend slide and not verbal narration), Determinant 3x3 Matrix+Assignment 2


This lecture starts with types of matrices, in initial parts of the lecture different types of matrices are discussed, then on later parts determinant is discussed. It also co relates concepts gained in previous lecture with concepts learned in this lecture.

[English] L2 Types of Matrices and Introduction to Determinants

Topics covered: Transpose of a matrix, Symmetric and Skew-Symmetric Matrix, Unique property of a Square Matrix, Minor of a Matrix, Co-factor of a Matrix

This is the first part of Transpose, minor, Co-factor, Adjoint and Inverse of a Matrix. In Next part Adjoint and Inverse of the matrix along with Involutary Matrix will be discussed. Happy Learning!

[English] L3 Part-I Transpose, Minor, Co-factor, Adjoint and Inverse of a Matrix

Topics covered: Adjoint of a Matrix, Inverse of a Matrix, Involutary Matrix+Assignment-3

This lecture is second part of lesson 'Transpose, Minor, Co-factor, Adjoint and Inverse of a Matrix'. In this lecture concept of invertibility and method to call inverse of a matrix is discussed. A Also Involutary matrix, a matrix related to inverse of a matrix is discussed.

[English] L4 Part-II Transpose, Minor, Cofactor, Adjoint and Inverse of a Matrix

Topics Covered: Methods to Calculate Determinant of a Matrix using Cofactors or Minors, Sarrus Method of Calculating Determinant, Orthogonal Matrix, Complex Matrix, Conjugate of a Matrix, Hermitian Matrix, Skew Hermitian Matrix+ Assignment-4


In this lecture we will learn more about determinants and matrices. We will also discuss complex matrix and terms related to them. In this way with this lecture we will end conceptual part of lecture series, such that with next lecture application part of the series will be started.

[English] L5 More on Determinants and Matrices (Sarrus Method, Hermitian, Skew-Hermitian Matrix)

Introduction to Elementary Operations, Row Operations, Column Operations, Matrix Reduction to Identity Matrix, Matrix Reduction to Lower and Upper Traiangular Matrix Using Elementary Operations



This is the part one of "Elementary Operations and Rank of a Matrix" in this part basic concept of Elementary Operations will be discussed.

[English] L6 Part -I Elementary Operations and Rank of a Matrix

Topics Covered: Inverse of a Matrix and another condition of being Invertible- Gauss Jordan Method of Calculating Inverse, Rank of a Matrix, Relation of Rank to Inverse of a Matrix, Conditions Related to Rank of a Matrix + Assignment-5



The Part two of Elementary Operations and Rank of a Matrix. In this lecture Gauss Jordan Method of finding inverse of a Matrix is discussed. The basic concept of rank in terms of elementary operations is also discussed. Remember: The fifth and sixth operation of elementary operations is also known as linear combination of Rows and Colums that was talked about in lecture 4.

[English] L7 Part-II Elementary Operations and Rank of a Matrix

Topics Covered: Concept of Consistency, Inconsistent and Consistent Set of Equations, Cramer's Rule in two variables, Test of Consistency using Cramer's Rule + Assignment-6


An overview to the concept of Simultaneous Linear Equation and concept of consistency of equations. An introduction to Cramer's Rule in two variables and methods to check consistency of Simultaneous Linear Equations using Cramer's Rule.

[English] L8 Test of Consistency and Solution of Simultaneous Linear Equation (Cramer's Rule)

Revision of Scalar Multiplication, Matrix Addition, Matrix Subtraction, Matrix Multiplication, Nilpotent Matrix, Shorcut Formula to Characteristic Equation of a Matrix, Matrix Algebra

Solution of assignment 1, that is the part of first lecture. An introduction to how the solutions of the questions asked in the  course can be solved. Remember: Questions and Solutions are not related to each other exactly.

[English] Assignment 1 [Solution]

Shortcuts to find out Characteristic Equation of 2x2 and 3x3 matrix. To save time in exams!

L9 Shortcuts to find out Characteristic Equation of 3x3 and 2x2 matrix

AIR-42 in JEE, INChO Gold Medalist, INPHO qualified, former faculty at Resonance (Kota) & Nucleus (Kota)

Prashant Jain

In this course, we understand progressions from class X level and build it to JEE Advanced level using Outcome Based Teaching Method.

(Hindi)Sequence and Series - IIT JEE

A Game Changer in Mathematics, produced multiple 100 percentilers, Air 33 & 34 (Main 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

11 lessons • 2h 14m

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[English] Overview: Foundation Course on Linear Algebra

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[English] L1 Introduction to Matrices and Matrix Algebra

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[English] L2 Types of Matrices and Introduction to Determinants

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[English] L3 Part-I Transpose, Minor, Co-factor, Adjoint and Inverse of a Matrix

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[English] L4 Part-II Transpose, Minor, Cofactor, Adjoint and Inverse of a Matrix

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[English] L5 More on Determinants and Matrices (Sarrus Method, Hermitian, Skew-Hermitian Matrix)

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[English] L6 Part -I Elementary Operations and Rank of a Matrix

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[English] L7 Part-II Elementary Operations and Rank of a Matrix

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[English] L8 Test of Consistency and Solution of Simultaneous Linear Equation (Cramer's Rule)

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[English] Assignment 1 [Solution]

+ See all lessons