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) r=min{m,n} (B) rlemin{m,n} (C) rltmin{m,n} (D) none of these

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

A =([a_(i j)])_(mxxn) is a square matrix, if (a) m n (c) m =n (d) None of these

Let A by any mxxn matrix then A^2 can be found only when (A) mltn (B) m=n (C) mgtn (D) none of these

If A = [a_(ij)] is a skew-symmetric matrix of order n, then a_(ij)=

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) and B=[b_(ij)]_(nxxp) then (AB)^\' is equal to (A) BA^\' (B) B\'A (C) A\'B\' (D) B\'A\'

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

If A=[a_(i j)] is a scalar matrix of order nxxn such that a_(i i)=k for all i , then trace of A is equal to n k (b) n+k (c) n/k (d) none of these

f(1)=1 and f(n)=2sum_(r=1)^(n-1) f (r) . Then sum_(n=1)^mf(n) is equal to (A) 3^m-1 (B) 3^m (C) 3^(m-1) (D)none of these