Matrices and Determinants (For XI, XII, IIT-JEE, Competitive Exams etc)

Course description: (Matrices & Determinants)

Matrices & Determinants is a very important topic from the Unit – Algebra and hence has maximum weightage in the Entrance Exams as well as in Academic Exam. This course starts with the basic concepts covering all the important formulae, shortcuts and finally ending up with Independent Practice Assessment.

Tagated Audience :

This course is best suitable for students preparing for IIT, Government Exam entrance, Scholarship Exam entrance, University / college entrance test & Academics. Learners at any level of preparation can enroll in this course.

Course Outline:

This course comprises of 33 Modules in three parts. Each Module is comprised of three parts. The first part starts with discussion of the basic concept along with shortcuts and formula. The second part will help you to understand the practical use of that concept in form of few solved questions and finally the part comprises of Independent practice Assessment. The brief of each Module – Part wise is as follows:

Part 1/3

Module 1.1: Introduction to a Matrix

Module 1.2: Order of a Matrix

Module 1.3:  Basic types of Matrix

Module 1.4:  Equality of Matrices

Module 1.5:  Basic Operations on Matrices

Module 1.6:  Multiplication of Matrices           

Module 1.7:  Transpose of a Matrix

Module 1.8:  Conjugate of a Matrix

Module 1.9:   Trace of a Matrix

Module 1.10: Symmetric & Skew Symmetric Matrix

Module 1.11: Special types of Matrix

Part 2/3

Module 2.1: Introduction to Determinants

Module 2.2: How to Evaluate Determinant

Module 2.3: Minors & Cofactors

Module 2.4: Adjoint of a Square Matrix

Module 2.5: Inverse of a Matrix

Module 2.6: Singular & Non – Singular Matrices     

Module 2.7: Elementary transformation of a Matrix

Module 2.8: Rank of a Matrix

Module 2.9: Echelon form of a Matrix

Module 2.10: Homogenous Linear Equations

Module 2.11: Non – Homogenous Linear Equations

Part 3/3

Module 3.1: Properties of Determinants

Module 3.2: Sum of Determinants

Module 3.3: Multiplication of Determinants

Module 3.4: Differentiation of Determinants

Module 3.5: Integration of Determinants

Module 3.6: Special types of Determinants      

Module 3.7: Solution of system of Linear Equations

Module 3.8: Cramer’s Rule

Module 3.9: Application of Matrices & Determinants

Module 3.10: Top 15 Questions (Solved)

Module 3.11: Independent Practice Assessment

Happy Preparation!!!

About Yourself:

The author of this course would like to present himself as Saurabh Kumar Gupta, Mathematics Graduate from Delhi University and Post- Graduation from the Indian Institute of Forest Management. He has been in the teaching & training domain for the last four years and worked in various Ed-tech firms. Currently, he is working as Mathematics faculty in Unacademy.

According to him:

“Life is an equation of many decision variables, always try to balance it.”