Mastering Linear Algebra and Group Theory for 2024

Learn Linear Algebra Concepts with simple examples.

4.55 (23 reviews)
Udemy
platform
English
language
Math
category
instructor
Mastering Linear Algebra and Group Theory for 2024
1,765
students
1 hour
content
May 2021
last update
FREE
regular price

What you will learn

You will analyze the solution set of a system of linear equations.

Learn elemantary matrix operations.

Express a system of linear equations in a matrix form.

Perform the elementary row operations for the matrices and systems of linear equations.

Learn Gauss Elimination.

Solve systems of linear equations using the inverse of the coefficient matrix when possible

Description

  • analyze the solution set of a system of linear equations.

  • express some algebraic concepts (such as binary operation, group, field).

  • do elementary matrix operations.

  • express a system of linear equations in a matrix form.

  • do the elementary row operations for the matrices and systems of linear equations.

  • investigate the solution of a system using Gauss elimination.

  • apply Cramer's rule for solving a system of linear equations, if the determinant of the matrix of coefficients of the system is not zero.

  • generalize the concepts of a real (complex) vector space to an arbitrary finite-dimensional vector space.

  • definite a vector space and subspace of a vector space.

  • explain properties of R^n and sub-spaces of R^n.

  • determine whether a subset of a vector space is linear dependent.

  • describe the concept of a basis for a vector space.

  • investigate properties of vector spaces and sub-spaces using by linear transformations.

  • express linear transformation between vector spaces.

  • represent linear transformations by matrices.

  • explain what happens to representing matrices when the ordered basis is changed.

  • describe the concepts of eigenvalue, eigenvector and characteristic polynomial.

  • determine whether a linear transformation is diagonalizable or not.

Who this course is for:

  • Academic Students.

  • Competitive Exam Preparation Aspirants.

Important information before you enroll!

  • Once enrolled, you have unlimited, 24/7, lifetime access to the course (unless you choose to drop the course during the first 30 days).

  • You will have instant and free access to any updates I'll add to the course - video lectures, additional resources, quizzes, exercises.

  • You will benefit from my full support regarding any question you might have.

  • Check out the promo video at the top of this page and some of the free preview lectures in the curriculum to get a taste of my teaching style and methods before making your decision

Content

Introduction

Introduction
Basic Definitions of Linear Algebra.
Types of Matrices.
Matrices Comparision.
Sample Question - 1 and Solution.
Sample Question - 2 and Solution - 1st Method.
Sample Question - 2 and Solution - 2nd Method.
Sample Question - 3 and Solution.
Sample Question - 4 and Solution.
Sample Question - 5 and Solution.
Sample Question - 6 and Solution.
Sample Question - 7 and Solution.
Self Assessment : Homework with Key

Reviews

Bharath
July 9, 2023
hey , it was good explanation and by solving problems it gave me better to understsnd the concept . thank you, bharath kumar
Akshad
October 15, 2021
I am weak in algebra , so i was searching for a course udemy I got this course and after reading the overview I enrolled this course and i got answers of my doubts

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Related Topics

3987570
udemy ID
4/17/2021
course created date
4/24/2021
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