If `A=[a_("ij")]_(4xx4)`, such that `a_("ij")={(2",","when "i=j),(0",","when "i ne j):}`, then `{("det (adj (adj A))")/(7)}` is (where `{*}` represents fractional part function)

If A=[a_(ij)] is a 2xx2 matrix such that a_(ij)=i+2j then A will be___

If A = [a_(ij)] is a 2 xx2 matrix such that a_(ij)=i+2j , then A will be

If A=([a_(i j)])_(nxxn) is such that ( a )_(i j)=bar (a_(j i)),AAi ,j and A^2=O , then Statement 1: Matrix A null matrix. Statement 2: |A|=0.

If matrix A=[a_(ij)]_(3xx3) , matrix B=[b_(ij)]_(3xx3) , where a_(ij)+a_(ji)=0 and b_(ij)-b_(ji)=0 AA i , j , then A^(4)*B^(3) is

Consider a matrix A=[a_("ij")] of order 3xx3 such that a_("ij")=(k)^(i+j) where k in I . Match List I with List II and select the correct answer using the codes given below the lists.

If A=[a_(ij)] is a care 2xx2 matrix whose elements are a_(ij)=(1)/(2) (i+2j)^(2) , then A will be____

Let A=([a_(i j)])_(3xx3) be a matrix such that AA^T=4Ia n da_(i j)+2c_(i j)=0,w h e r ec_(i j) is the cofactor of a_(i j)a n dI is the unit matrix of order 3. |a_(11)+4a_(12)a_(13)a_(21)a_(22)+4a_(23)a_(31)a_(32)a_(33)+4|+5lambda|a_(11)+1a_(12)a_(13)a_(21)a_(22)+1a_(23)a_(31)a_(32)a_(33)+1|=0 then the value of 10lambda is _______.

If A=[a_(ij)]_(mxxn) and a_(ij)=(i^(2)+j^(2)-ij)(j-i) , n odd, then which of the following is not the value of Tr(A) (a) 0 (b) |A| (c) 2|A| (d) none of these

If A=[a_(ij)] is a 3xx2 matrix whose elements are given by a_(ij)=3i-2j , then A will be__

If A=[a_(ij)] is a 2xx3 matrix whose elements are given by a_(ij)=(1)/(2) |3i-4j|, then A will be ___