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Mastering Matrices in 12 Hours: Complete Guide for Class 12 & JEE Aspirants | NCERT Solutions

Embark on a comprehensive journey through the world of matrices. Our detailed course is perfect for Class 12 students and JEE aspirants, covering everything from basic definitions to complex applications, aligned with NCERT guidelines and enriched with Raven's progressive matrices.
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Last Updated:December 27, 2023
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About Course

Dive deep into the fascinating world of matrices with our 12-hour course, tailored for Class 12 Maths students and JEE aspirants. This course begins with the fundamental concepts, exploring the definition and various types of matrices, aligning with the NCERT Chapter 3.1 syllabus.

As you progress, delve into the intriguing aspects of matrix algebra, uncovering the vital properties of matrices that form the core of higher-level mathematics and its real-world applications. Our expert instructors explain concepts in both English and हिंदी, ensuring a clear understanding for all students.

The heart of this course lies in the detailed exploration of matrix multiplication, presented through a series of three lectures. These lectures meticulously cover the NCERT Chapter 3.2 curriculum, providing students with a thorough understanding of this critical topic.

Beyond the academic syllabus, we explore the application of matrices in various fields, demonstrating their real-world utility. The course also includes an exclusive segment on Raven’s progressive matrices, offering students a unique perspective on logical and spatial reasoning.

Our course is enriched with matrices NCERT solutions, offering students a robust resource for exam preparation. This course is not just about learning; it’s about mastering the topic, making it an essential tool for anyone aiming to excel in Class 12 Maths and JEE.

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What I will learn?

  • Understand the fundamental concepts and different types of matrices.
  • Master the properties of matrices and their algebraic operations.
  • Gain proficiency in the multiplication of matrices through detailed lectures.
  • Learn the application of matrices in various real-world scenarios.
  • Develop logical reasoning skills with Raven's progressive matrices.
  • Access comprehensive NCERT solutions for effective exam preparation.

Course Curriculum

Introduction to Matrices: Definition & Types
Matrices Definition & Types is a foundational lesson that introduces students to the concept of matrices, an essential component in higher-level mathematics. This lesson covers various types of matrices and their unique characteristics, laying the groundwork for complex operations in the CBSE and ICSE curricula.

  • Definition & Types

Algebra Matrices
Algebra Matrices delves into the fascinating world of algebra through the lens of matrices. This lesson is designed to teach students how matrices are used in algebraic operations, enhancing their problem-solving skills for advanced mathematical concepts in the CBSE and ICSE syllabus.

Multiplication of Matrices
Multiplication of Matrices offers students an engaging journey into the intricate process of matrix multiplication. This lesson focuses on understanding the rules and methods for multiplying matrices, a crucial skill for solving higher-level mathematical problems in both the CBSE and ICSE frameworks.

Transpose of a Matrix, Symmetric, and Skew Symmetric Matrix
Transpose of a Matrix, Symmetric, and Skew Symmetric Matrix is a comprehensive lesson that explores the transformation of matrices through transposition, and the distinct properties of symmetric and skew-symmetric matrices. It's an essential topic for mastering advanced matrix concepts in the CBSE and ICSE curricula.

Orthogonal Matrices
Orthogonal Matrices is an insightful lesson that introduces students to the concept of orthogonal matrices and their unique properties. This topic is pivotal for understanding advanced matrix operations and their applications in various mathematical problems, especially in the CBSE and ICSE syllabi.

Singular and Non-Singular Matrices
Singular and Non-Singular Matrices unravels the differences and characteristics of singular and non-singular matrices. This lesson is key to understanding matrix determinants and their role in solving complex mathematical problems, aligning with the CBSE and ICSE curriculum standards.

Adjoint of a Matrix
Adjoint of a Matrix introduces students to the concept of the adjoint, a fundamental aspect of matrices. This lesson is designed to help students understand how to calculate the adjoint and its significance in matrix operations, crucial for advanced studies in the CBSE and ICSE curriculum.

Inverse of a Matrix
Inverse of a Matrix is a crucial lesson that demystifies the concept and calculation of matrix inverses. Understanding this is key for students to efficiently handle matrix-based solutions and advanced algebra in their CBSE and ICSE mathematics courses.

Solving Systems of a Linear Equation
Solving Systems of Linear Equations is a focused lesson on mastering the methods to solve linear equations using matrices. It equips students with the skills to tackle complex systems of equations, an essential component for higher-level mathematics in the CBSE and ICSE curriculum.

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  • Basic understanding of Class 11 Mathematics concepts.
  • Familiarity with mathematical operations and algebra.
  • Interest in deepening knowledge in matrices for academic and competitive exams.
  • Access to NCERT Class 12 Mathematics textbooks for reference.
  • Dedication to complete the 12-hour course duration.
  • Ability to understand explanations in both English and हिंदी.


Tarique Anwar
Tarique Anwar
Mathematics Instructor
Free access this course

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