Matrices And Determinants

Master Class 12

teacher-circle 6 Skill Builders
video-circle 30 Concept Videos
clock-circle 81 Practice Questions
certificate-circle Certificate of Completion
Experience our Unique Learning Methodology
About the course

Unlock the power of Matrices and Determinants, the fundamental tools of Linear Algebra. This comprehensive course is designed for Class 12 students, aiming to deepen their understanding of these crucial mathematical concepts. This course is ideal for students who wish to deepen their mathematical knowledge and apply these skills to achieve high scores in Board and Competitive exams like IIT JEE.

Why this course?

Access course materials anytime, anywhere, allowing you to learn at your own pace. Build a strong foundation in matrices and determinants, essential for advanced studies in Mathematics, Engineering, Computer Science, and related fields.

Under the expert guidance of Dr. Ravishankar, who is renowned for his skill in preparing students for competitive exams, this course delivers key insights and strategies to prevent common misconceptions and handle questions with confidence.

What does the course contain?

This micro-course offers 30 concept lectures and 81 questions complete with video solutions, designed to be completed in just over 5 days. The course emphasizes mastering Class 12 Matrices and Determinants problems and includes a diverse range of questions from basic to advanced levels to enhance both problem-solving skills and speed, vital for competitive exams. Dr. Ravishankar's expertise and strategic insights enable students to steer clear of common pitfalls and tackle questions with greater confidence.

What do you have to do?

This course is crafted for dedicated students who are serious about their studies and offers the flexibility to learn at your own pace, fitting seamlessly into a demanding schedule.

For the best experience, please ensure you are seated at a comfortable desk with a PC, avoid using mobile devices for accessing the course, and listen to the videos with headphones to immerse yourself fully in the material.

Topics in this Course Sub Topics Covered
Introduction to Matrices

Introduction to Matrices

Types of Matrices

Addition and Subtraction of Matrices

Scalar Multiplication

Multiplication of Matrices

Properties of Matrix Multiplication
Transpose and Inverse of a Matrix

Transpose of a Matrix

Symmetric and Skew Symmetric Matrices

Inverse of a Matrix

Inverse of a 2x2 Matrix

Orthogonal Matrix
Introduction to Determinants

Introduction to Determinants

Evaluating 3x3 Determinant Part I

Evaluating 3x3 Determinant Part II

Expansion w.r.t to any row

Expansion w.r.t to any column
Properties of Determinants

Transposing rows and columns

Interchanging 2 rows or 2 columns

Common factor of all elements in a row/column

Splitting into sum of two determinants

Invariance under row/column operation
Adjoint and Inverse of a Matrix

Adjoint of a Square Matrix

Relation between Adjoint and Inverse of a Matrix

Properties - Adjoint of a nxn Square Matrix

Elementary Row operations on a Matrix

Using elementary row operations to find inverse
System of Equations

System Of Equations

Cramer’s Rule For Solving System Of Equations

Cramer’s Rule Concept Example

Homogenous System

Learn from India’s Best Teacher

team1

Dr. Ravishankar

Ex Faculty at IIT Madras

Prof. A. Ravishankar, got his M.S and PhD. from CMU and earned 3 patents in the US. He was a faculty at IIT Madras before devoting his time to school education. He has been training students for IIT JEE & Olympiad exams for the past 14 years. His innovative Maths classes at AhaGuru have been a big hit with students.

What our students say
suniti

“Matrices and Determinants skill builders were very useful they help me visualize the concepts and remember them better. Sir’s teaching was very clear and the topics were hence easier to understand. The Skill Builders were pinpoint to the concepts so it was easier to cover more concepts in shorter time. The example questions after every concept lecture helps understand the methods of solving problems.”

Suniti
Class 12
alagappan

“The skill builders are a really good tool for me which is a great pathway to my success... Specifically it’s the key to improve my knowledge on a few tough topics.... This method of improving our knowledge on specific topics is like a helping hand for me to understand concepts even better.”

Alagappan
Class 12
prashandini_jayakumar

“In these skill builders, sir's clear explanations made it easy to understand and solve the questions. I was even able to tackle CBSE questions on these topics with confidence. The methods, especially in the Matrices and Determinants skill builder, were exceptionally understandable.”

Prashandini Jayakumar
Class 12
Frequently Asked Questions
Yes, the course is accessible through our AhaGuru Courses App. You can download the app from the Google Play Store to access the free course on Capacitors. Download link: https://play.google.com/store/apps/details?id=com.ahaguru.ahazap&hl=en_IN&gl=US
Absolutely. The course is also available on our website. You can log in from any web browser on your PC or laptop to access all course materials, including video lectures, quizzes, and additional resources.
This course will help students who study in CBSE as well as in ICSE board. It will also help students who are preparing for JEE and NEET and other competitive examinations.
Micro Courses help students to master specific topics that they find difficult, one topic at a time, at their own pace. Our research team focuses on how every topic can be made interesting and realistic in order to build the concepts, problem solving skills and confidence.
You can track your child’s progress in each topic anytime. There is a section in the student’s dashboard page where you can see a detailed report about lesson completion as well as the performance of your child.
Sorry, you will not be able to download the videos or questions from the course. You need to be connected to the internet to view the videos, answer questions and to access video solutions.
Unfortunately, we do not entertain refund requests for Micro Courses.