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.