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Matrices and Determinants

Sonika Anand Academy

5 modules

English

Lifetime access

Explore the world of matrices and determinants.

Overview

In this course, you will delve into the fascinating world of matrices and determinants. Matrices are arrays of numbers or expressions arranged in rows and columns, and they are fundamental tools in various areas of mathematics, science, and engineering. You will learn how to perform operations on matrices, including addition, subtraction, multiplication, and finding the inverse of a matrix. Determinants are special numbers associated with square matrices that have important geometric and algebraic interpretations. You will explore how determinants can be used to solve systems of linear equations, calculate areas and volumes, and determine whether a matrix is invertible. Throughout the course, you will encounter real-world applications of matrices and determinants, such as computer graphics, cryptography, and quantum mechanics. By mastering the concepts and techniques presented in this course, you will develop a deeper understanding of linear algebra and sharpen your problem-solving skills. Whether you are a student, a researcher, or a professional in a technical field, the knowledge gained from this course will empower you to tackle more advanced topics in mathematics and its applications.

Key Highlights

Introduction to matrices and determinants

Operations on matrices: addition, multiplication

Finding the determinant of a matrix

Properties of determinants

Matrix inverses and solving systems of equations

Applications in linear algebra and geometry

Using matrices in computer graphics

Practice problems and real-world examples

What you will learn

Introduction to Matrices

Understand the concept of matrices and their basic properties.

Matrix Operations

Learn how to perform addition, subtraction, multiplication, and transpose of matrices.

Determinants and Properties

Explore the concept of determinants and their various properties in matrix algebra.

Matrix Inversion

Study the process of finding the inverse of a matrix and its applications.

Cramer's Rule

Understand and apply Cramer's Rule for solving systems of linear equations using determinants.

Modules

Introduction to Matrices

8 attachments • 33 mins

Definition and basic properties of matrices

Coming Soon

Lecture 1

Lecture 2

Types of matrices (row matrix, column matrix, square matrix, etc.)

Coming Soon

Lecture 1

Matrix operations (addition, subtraction, scalar multiplication)

Coming Soon

Lecture 1

Lecture 2

Determinants

8 attachments • 59 mins

Definition and properties of determinants

Coming Soon

properties of determinants

Determinant properties

Evaluation of determinants (2x2, 3x3 matrices)

Coming Soon

determinant of 3×3 matrix

Lecture 1

Properties of determinants (expansion, cofactors, minors)

Coming Soon

Lecture 1

Matrix Operations

20 attachments • 2 hrs

Matrix multiplication

Coming Soon

Lecture 1

Lecture 2

Lecture 3

Multiplication of 3×3matrices@sonikaanandacademy

Inverse of a matrix

Coming Soon

Lecture

Lecture 1

Lecture 2

Inverse of matrix @sonikaanandacademy

Transpose of a matrix

Coming Soon

Lecture 1

Lecture 2

Lecture 3

Symmetric and skew symmetric matrices

symmetric and skew symmetrix@sonikaanandacademy

Hermitian Matrices

Hermitian matrices@sonikaanand

Orthogonal Matrices

orthogonal matrices @sonikaanandacademy

Applications of Matrices and Determinants

7 attachments • 1 hrs

System of linear equations

Coming Soon

Lecture 1

Lecture 2

Eigenvalues and eigenvectors

Coming Soon

Matrix transformations

Coming Soon

Lecture 1

Lecture 2

Mock Test Series

1 attachment • 52 mins

Lecture 1

FAQs

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Yes, our platform is designed to be accessible on various devices, including computers, laptops, tablets, and smartphones. You can access the course materials anytime, anywhere, as long as you have an internet connection.

How can I access the course materials?

Once you enrol in a course, you will gain access to a dedicated online learning platform. All course materials, including video lessons, lecture notes, and supplementary resources, can be accessed conveniently through the platform at any time.

Can I interact with the instructor during the course?

Absolutely! we are committed to providing an engaging and interactive learning experience. You will have opportunities to interact with them through our community. Take full advantage to enhance your understanding and gain insights directly from the expert.

About the creator

About the creator

Sonika Anand Academy

online coaching classes from Class 6 to Class 12. With a free trial offer and video lectures at affordable prices, SoniKanand Academy is your pathway to success.

Live Online Classes**: Engage in live online classes 1:1

Homework Help**: Get timely assistance with homework

Subject-Specific Tutoring**: Master each subject with precision through specialized tutoring sessions conducted by experienced educators..

Test Preparation**: Prepare for standardized tests and exams

 

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