.If A is a non-singular matrix of order 'n' , then its rank is *
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Rank of a square matrix A of order n is always less than or equal n . In case, if the matrix A is non-singular that is det(A) ≉ 0 , then A itself is the highest order minor having non-zero determinant . Therefore, rank of A = n . This is true for all square matrices of order n, not just non-singular matrices.
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