linear algebra focusing on matrices and solving linear system of equations. · How to add and subtract matrices. · How to compute scalar multiplication to a matrix.

Basics of matrices (notation, dimensions, types, addressing the entries etc.) Operations on a single matrix, e.g. scalar multiplication, transpose, determinant.

The overall course outline or topics that will be covered in this course includes

1. Introduction to matrices

   • Definition

2. Types of matrices

   • Square matrix

   • Rectangular matrix

   • Diagonal matrix

   • Row and column matrix

   • Transpose of a matrix

3. Special Types of matrices

   • Null matrix

   • Diagonal matrix

   • Scalar matrix

   • Unit matrix or Identity matrix

4. Operations on matrices

   • Addition of two matrices

   • Scalar multiplication of two matrices

   • Multiplication of two matrices

5. Determinants of matrices

   • order two and three matrix

6. Inverse of a matrix of order 2 by 2 (2*2) and 3 by3 ( 3*3)

   • Adjoint method

   • Guass-Jordan method for finding inverse

7. Solving system of linear equations

   • matrix inversion method

   • Cramer's rule

   • Guassian elimination

   • Guass Jordan elimination
     

HERE IS WHAT YOU GET IN THE COURSE:

Video Lessons: Watch over my shoulder as I explain all the Linear Algebra concepts in a simple and easy to understand language. Everything is taught from scratch, and no prior knowledge is assumed.

Solved Examples: Every topic is explained with the help of solved examples, from start to end. This problem-based approach is great, especially for beginners who want to practice their Math concepts while learning.