Showing posts with label upper triangular matrix. Show all posts
Showing posts with label upper triangular matrix. Show all posts

Sunday, June 10, 2012

Triangular Matrix

There are two special kinds of square matrices (n X n matrix) known as the Upper Triangular Matrix & the Lower Triangular Matrix.

Upper Triangular Matrix - Elements below the main diagonal are all zero.
     i.e. M[i,j] = 0, for i > j

Lower Triangular Matrix - Elements above the main diagonal are all zero.
     i.e. M[i,j] = 0, for i < j

where,
Main diagonal - The diagonal running through M[1,1] to M[n,n] for a nXn square matrix.