1. Row Matrix
A matrix having only one row and n columns is called row matrix. i.e. [a_{11} a_{12} a_{13}….. a_{1n}]_{1xn} For example [2 3 4 5]_{1×4} 

2. Column Matrix
A matrix having only m rows and one column is called column matrix i.e. 


3. Square Matrix A matrix order m x n called square matrix where m = n, i.e., it has same numbers of rows and columns. 

4. Diagonal Matrix A square matrix having main diagonal elements non zero and other elements are zero is called diagonal matrix. 

5. Scalar Matrix A diagonal matrix having each diagonal element equal is called scalar matrix. For i.e. 


6. Unit (or Identify) Matrix A diagonal matrix having each diagonal element equal to one is called unit matrix. It denote by I_{n}. Thus, 


7. Null (or Zero) Matrix A matrix of order m x n having all elements are zero is called Null matrix and it’s denoted by 0. i.e. 

8. Upper Triangular Matrix A square is said to be an upper triangular matrix if all elements below the main diagonal are zero. As, 

9. Lower Triangular Matrix A square matrix is said to be an lower triangular matrix if all elements above the main diagonal are zero. i.e. 
