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
• Introduction to matrices
•Definition
•Types of matrices
•Square matrix
•Rectangular matrix
•Diagonal matrix
•Row and column matrix
•Transpose of a matrix
•Special Types of matrices
•Null matrix
•Diagonal matrix
•Scalar matrix
•Unit matrix or Identity matrix
•Operations on matrices
•Addition of two matrices
•Scalar multiplication of two matrices
•Multiplication of two matrices
•Determinants of matrices
•order two and three matrix
•Inverse of a matrix of order 2 by 2 (2*2) and 3 by3 ( 3*3)
•Adjoint method
• Guass-Jordan method for finding inverse
•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.