System of linear Equations, Homogeneous and Non-Homogeneous system of linear equations, Gauss Elimination method and Gauss Jordon Method.

 

Informal way to define derivative

This is an informal way to define derivative of an identity function. We know that an identity function is defined as y = f(x)=x When we will take its first derivative then their result will be y'=f'(x)=1. if will take its second derivative then it will be equal to zero.

Similarly, the following figure represents first and second derivatives of an identity function. This figure helps us to understand the concept of derivatives and it is an informal concept of derivative but not formal.

Inverse of a Matrix By Elementary Row Operations

 

Rank of Matrix by using determinants, Rank of Matrix by using Elementary Row operations, Rank of Matrix by an alternative Method

 

Elementary Row Operations, Echelon & Reduced Echelon Forms

 

Special Types of Matrices (Periodic matrix, Idempotent matrix, Hermitian and Skew Hermitian matrices, Nilpotent matrix, Symmetric matrix, Skew symmetric matrix, Orthogonal matrix, Unitary Matrix)

 

Introduction to Matrices, Types of matrices, Algebra /Operations of Matrices, Trace of a Matrix (Row matrix, column matrix, Horizontal matrix, Vertical Matrix, Square matrix,)