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

If A=[a_(ij)] is a scalar matrix of order nxxn and k is a scalar, then abs(kA)=

If A=[a_(i j)] is a 2xx2 matrix such that a_(i j)=i+2j , write A .

If S=[S_(i j)] is a scalar matrix such that s_(i i)= k and A is a square matrix of the same order, then A S=S A=? A^k (b) k+A (c) k A (d) k S

If S=[S_(i j)] is a scalar matrix such that s_(i i)=ka n dA is a square matrix of the same order, then A S=S A=? A^k (b) k+A (c) k A (d) k S

If A=[a_(i j)] is a square matrix of even order such that a_(i j)=i^2-j^2 , then (a) A is a skew-symmetric matrix and |A|=0 (b) A is symmetric matrix and |A| is a square (c) A is symmetric matrix and |A|=0 (d) none of these

If A is a square matrix of order n xx n and k is a scalar, then adj (kA) is equal to (1) k adj A (2) k^n adj A (3) k^(n-1) adj A (4) k^(n+1) adj A

If A is a square matrix of order n xx n and k is a scalar, then adj (kA) is equal to (1) k adj A (2) k^n adj A (3) k^(n-1) adj A (4) k^(n+1) adj A

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

If A is a square matrix of order nxxn and lamda is a scalar then |lamdaA| is (A) lamda|A| (B) lamda^n|A| (C) |lamda||A| (D) none of these

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