Tuesday, November 10, 2009

What is Rank of Matrix? What are Conditions for Finding The Rank of Matrix?

Definition of Rank of Matrix

" Rank of Matrix is the order of that square matrix whose determinant is not zero. If determinant is "
 zero, then we take its sub matrix and if determinant of this sub matrix is not zero, then its order will be the rank of original matrix.


There are two conditions for finding the rank of matrix:-


1. Matrix must be square, it means numbers and columns of matrix must be same.
2. Matrix must have non zero value of determinant.


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