Description:

This live course on Linear Algebra provides a comprehensive introduction to the fundamental concepts of linear algebra, including

• System of equations,
• Vector spaces,
• Matrices & Determinants,
• Eigenvalues & Eigenvectors,
• Linear Transformations
• Diagonalization
• Quadratic Form
• Inner Product Space
• Invariant Space

The course will cover both basic foundations and applications used in various types of questions.  

Key Highlights:

• Key concepts of Linear Algebra
• Applications of Important Theorems
• How to use concepts in Questions
• Why Shortcuts Work
• Class Test & Assignments for real time testing

What you will learn:

• Understanding Vector Spaces
  Learn the definition and properties of vector spaces and how they are used in linear algebra.
• Matrix Operations and Echelon Form (The concept of pivot)
  Explore matrix operations, row-echelon form, row reduced echelon form, and their applications.
• Eigenvalues and Eigenvectors
  Understand the concepts of eigenvalues, eigenvectors, and generalized eigenvectors.
• Linear Transformation
  Understand the concepts of linear transformations and their relation to matrices.
• Diagonalization
  Why is a matrix diagonalizable? and Jordan Canonical Form
• Quadratic Form & Inner Product Space
  What is the definiteness of a quadratic form, and how is it related to symmetric matrices?
• Invariant Space
  Learn the logic of Invariant space and its importance in Linear algebra.