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

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

if A=[a_(ij)]_(3xx3) such that a_(ij)=2 , i=j and a_(ij)=0 , i!=j then 1+log_(1/2) (|A|^(|adjA|))

If A=[a_(i j)] is a 3xx3 diagonal matrix such that a_(11)=1 , a_(22)=2 and a_(33)=3 , then find |A| .

A is a 2xx2 matrix, such that A={:[(a_(ij))]:} , where a_(ij)=2i-j+1 . The matrix A is

If matrix A=[a_(ij)]_(3xx2) and a_(ij)=(3i-2j)^(2) , then find matrix A.

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)]_(2xx3) , difined as a_(ij)=i^(2)-j+1 , then find matrix A.

If A is a square matrix for which a_(ij)=i^(2)-j^(2) , then matrix A is

if A=[a_(ij)]_(2*2) where a_(ij)={i+j,i!=j and a_(ij)=i^(2)-2j,i=j then A^(-1) is equal to