For a matrix A of rank r (A) rank `(A\')ltr` (B) rank `(A\')=r . (C)` rank `(A\')gtr` (D) none of these

For a matrix of rank r ,

If A is an invertible matrix and B is a matrix then (A) rank (AB)=rank(B) (B) rank (AB)=rank(A) (C) rank (AB)gtrank(B) (D) rank (AB)gtrank(A)

If A=[a_(ij)]_(mxxn) is a matrix of rank r then (A) rltmin{m,n} (B) rlemin{m,n} (C) r=min{m,n} (D) none of these

If A=[a_(ij)]_(mxxn) is a matrix of rank r then (A) rltmin{m,n} (B) rlemin{m,n} (C) r=min{m,n} (D) none of these

For a non singular matrix A of order n the rank of A is (A) less than n (B) equal to n (C) greater than n (D) none of these

For a non singular matrix A of order n the rank of A is (A) less than n (B) equal to n (C) greater than n (D) none of these

If A=[a_(ij)]_(mxxn) is a matrix of rank r then (A) r=min{m,n} (B) rlemin{m,n} (C) rltmin{m,n} (D) none of these

Let A be a matrix of rank r. Then,

Rank of a Matrix