possible ordered pairs are ( , ), ( , ), ( , ), ( , ) Hence, possible orders are × , × , × , × Example Construct a × matrix whose elements are given by | | ij i j Solution In general a × matrix is given by Now | | ij i j , i = , , and j = , . Therefore | | −× | | −× | | −× | | −× | | −× | | −× Hence the required matrix is given by MATRICES . Types of Matrices In this section, we shall discuss different types of matrices. Column matrix A matrix is said to be a column matrix if it has only one column.
For example, / is a column matrix of order × . In general, A = [ a ij ] m × is a column matrix of order m × . Row matrix A matrix is said to be a row matrix if it has only one row. For example, is a row matrix.
In general, B = [ b ij ] × n is a row matrix of order × n . (iii) Square matrix A matrix in which the number of rows are equal to the number of columns, is said to be a square matrix . Thus an m × n matrix is said to be a square matrix if m = n and is known as a square matrix of order ‘ n ’. For example is a square matrix of order .
In general, A = [ a ij ] m × m is a square matrix of order m . A Note If A = [ a ij ] is a square matrix of order n , then elements (entries) a , a