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Master Determinants in 9 Hours: Comprehensive Class 12 Maths Course for CBSE & JEE Aspirants

Delve deep into the world of determinants with our extensive 9-hour course. Covering all aspects from 'what is determinant' to 'how to solve determinant', this course is tailored for Class 12 Maths students preparing for CBSE, JEE, and other competitive exams. Join us to unlock the secrets of determinant properties and formulas.
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Last Updated:December 27, 2023
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About Course

Embark on a journey to understand the crucial concept of determinants in mathematics with our detailed course, perfect for Class 12 students and JEE aspirants. Our course, spanning 9 hours and 38 minutes, is carefully designed to cover everything from the basics of ‘what is determinant?’ to the complex formula of determinant.

Starting with an introduction to determinants, we guide you through the essential ‘how to find determinant’ and dive into the intricate ‘determinant of a matrix’. Each lesson is crafted to enhance your understanding of determinant properties, ensuring a solid foundation in this vital area of mathematics.

Starting with an introduction to determinants, we guide you through the essential ‘how to find determinant’ and dive into the intricate ‘determinant of a matrix’. Each lesson is crafted to enhance your understanding of determinant properties, ensuring a solid foundation in this vital area of mathematics.
Our interactive sessions include varied problems based on properties of determinants, with and without expansion, ensuring you gain hands-on experience in ‘how to solve determinants’. We also explore the application of determinants in solving linear equations using Cramer’s Rule, and in calculating areas, such as the area of a triangle.

The course is divided into comprehensive lessons, including:

  • Introduction to Determinants
  • Detailed Exploration of Determinant Properties
  • Practical Problem-Solving Sessions
  • Understanding Minors and Cofactor
  • Application in Linear Equations (Cramer’s Rule)
  • Determinant-based Calculation of Area

Presented in an easy-to-understand format, this course is ideal for students preparing for ICSE, CBSE, JEE, or anyone looking to strengthen their grasp of Class 12 Maths concepts.

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What I will learn?

  • Understand the basic concept of what a determinant is.
  • Learn how to find and calculate the determinant of a matrix.
  • Master various determinant properties and their applications.
  • Gain proficiency in solving complex determinant problems.
  • Understand the role of minors and cofactors in determinants.
  • Apply determinants in practical scenarios like solving linear equations and calculating areas.

Course Curriculum

Introduction to Determinants
Introduction to Determinants is a foundational lesson that kicks off the journey into the complex world of determinants. Ideal for Class 12 students, this lesson aligns with CBSE and JEE syllabi, focusing on building a strong conceptual base. It covers the basics of determinant functions, their properties, and their pivotal role in advanced mathematical applications. This lesson is an essential starting point for students aiming to excel in higher mathematics.

  • Introduction to Determinants
    01:18:06

Properties of Determinants
Properties of Determinants offers a comprehensive exploration into the various properties that define and govern the behaviour of determinants in mathematics. This lesson is crucial for students in advanced classes like Class 12, preparing for CBSE, ICSE, or competitive exams like JEE. It delves into essential properties such as linearity, the impact of row and column operations, and determinant multiplication, equipping students with the necessary skills to adeptly handle complex determinant-related problems.

Minors and Cofactor
Minors and Cofactor" is a detailed lesson aimed at demystifying these two critical concepts in the study of determinants. Essential for Class 12 students and those preparing for competitive exams like JEE, this lesson explains how to calculate minors and cofactors of a matrix. Understanding these concepts is crucial for solving higher-order determinants and for applications in various areas of mathematics, including finding the inverse of a matrix and solving systems of linear equations.

Solution of Linear Equation (Cramer’s Rule)
Uncover the concepts of Minors and Cofactors in this lesson, delving into their crucial roles in calculating determinants and adjoints, and their applications in matrix algebra and inverse computations. Solution of Linear Equation (Cramer's Rule)" is a focused lesson that introduces students to Cramer's Rule, a pivotal method in linear algebra for solving systems of linear equations using determinants. This lesson is particularly valuable for Class 12 students and those preparing for competitive exams like JEE, providing a clear, step-by-step approach to applying Cramer's Rule. Understanding this rule is essential for efficiently solving linear equations, a key skill in advanced mathematics and various real-world applications.

Area of Triangle
Area of Triangle" is a mathematics lesson designed to teach students how to calculate the area of a triangle using various methods. This topic is vital for Class 12 students and those preparing for competitive exams like JEE. The lesson covers formulas including the traditional base-height method and the more advanced Heron's formula. It also delves into using determinants for calculating the area of a triangle given coordinates in a plane, a method particularly useful in coordinate geometry and problem-solving.

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Requirements

  • As a student of class 11th and 12th, having a basic understanding and conceptual clarity about CBSE level of basic arithmetics and calculus is highly beneficial in order to learn Determinants for competitive exams. Here’s a brief look into such conceptual requirements:
  • Matrices: Determinants are a way to calculate the value of a matrix, so it is essential to have a good understanding of matrices and their operations (such as addition, subtraction, and multiplication).
  • Linear equations: Determinants are used to solve systems of linear equations, so it is important to be familiar with the concepts of linear equations and their solutions.
  • Linear Algebra: Determinants are concepts from Linear Algebra, so it is important to have a good understanding of the basics of Linear Algebra.
  • Adjoint and inverse of matrix: Determinants are used to find the inverse and adjoint of a matrix, so it is important to understand these concepts as well.

Instructor

Tarique Anwar
Tarique Anwar
Mathematics Instructor
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Free access this course

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