What is Linear Algebra?

A Quick Intro

Linear algebra is a branch of mathematics that deals with vector spaces and the linear mappings between these spaces. It encompasses the study of vectors, vector spaces (or linear spaces), linear transformations (or linear mappings), and systems of linear equations. Linear algebra is fundamental in both pure and applied mathematics and serves as a key tool in many fields, including science, engineering, computer science, economics, and more.

All of the topics are covered in detail in our Linear Algebra Course.

https://www.youtube.com/watch?v=e7a3bo22fAc&list=PLrtzypMWdxDE2F5o05FumTKW0vZrQiddU&pp=iAQB

The following sections contain links to our full lessons on all the topics listed below.

Linear Algebra:

• Gauss Elimination Method.
• Gauss Jordon Method.
• LU Decomposition Method or Factorization Method to Solve Linear Equations.
• Eigen Values and Eigen Vectors.
• Linear Combination
• Spanning Set
• Linearly Independent Vectors
• Orthogonal Vector and Orthogonal Set
• Orthonormal Set and Orthonormal Basis
• Diagonalization
• Linearly Dependent and Linearly Independent Vectors
• Vector Space and General Properties of Vector Space
• Linear Transformations
• Properties of Linear Transformation
• Kernel and Range of Linear Transformations
• Matrix of Linear Transformations
• Separable Differential Equations
• Homogeneous Differential Equations
• Exact Differential Equations
• Non-Exact Differential Equations
• Linear Differential Equations
• Bernoulli’s Differential Equations
• Higher Order Linear Differential Equations