Row matrix:

A matrix that has only one row is called a row matrix

Example:

The matrix is, 

A matrix with m rows and n columns is a  matrix

Since matrix has 1 row and 5 columns, the dimensions of matrix are

Column matrix:

A matrix that has only one column is called a column matrix.

Example:

The matrix is,

A matrix with m rows and n columns is a matrix

Since matrix has 3 rows and 1column, the dimensions of matrix are

Square matrix:

A matrix that has the same number of rows and columns is called a square matrix.

Example:

A matrix with m rows and n columns is a matrix

Since matrix has 3 rows and 3 columns, the dimensions of matrix are

Zero matrix:

The special type of matrix is the zero matrix, in which every element is 0.

The zero matrix can have any dimension.

A matrix with m rows and n columns is a matrix

Since matrix has 3 rows and 3 columns, the dimensions of matrix are