What is meant by orders of matrices What is Triangular matrix

Asked by Jogy Jacob | 8th Mar, 2013, 10:09: PM

Expert Answer:

Order of a matrix gives the number of rows and columns present in the matrix.
 
For example, 

A matrix is said to be a column matrix if it has only one column.

A = [aij]m x 1 is a column matrix of order m x 1

A matrix is said to be a row matrix if it has only one row.

  B = [bij]1 x n is a row matrix of order 1 x n.
 
A triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal are zero. A square matrix is called upper triangular if all the entries below the main diagonal are zero. A triangular matrix is one that is either lower triangular or upper triangular.

Answered by  | 9th Mar, 2013, 09:50: PM

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