Find rank of matrix using SR modulus Method

Find rank of matrix using SR modulus Method:

In engineering mathematics it is not easy to find rank of matrices. SR Modulus method give us flexibility and  easy way to find rank of matrices. This method is working under the project “LOCO POCO SOCO”, developing by S.K. Chakravarti since 2009.

SR Modulus method:

If a matrix A= , then find the prime modulus of matrix A.

B=A%(Prime Number P)

Let prime number be 2. Then matrix B will be

B=

Apply elementary row and column elimination. Try to do (n-1) elements of  any one row or column of matrix B to be 0.

If Maximum elements are in the form of 2n,3n,5n,7n…..,  then take prime number P as upper prime.

Apply these Modulus and elimination till every elements gets  {-1,0,1}.

Rank(A)=Number of none zero rows or columns of matrix B.

Example:

Given that a 3x3 matrix A=. Find the Rank of matrix A.

Solution:

Applying modulus 2, then B=A%2.

B=~~

Number of none zero rows or column = 2

Hence, Rank(A)=2    ANS.

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