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

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

Statement 1: The inverse of singular matrix A=([a_(i j)])_(nxxn), \ w h e r e \ a_(i j)=0,igeqj \ i s \ B=([a i j^-1])_(nxxn) . Statement 2: The inverse of singular square matrix does not exist.

If A is a matrix of size nxxn such that A^(2) + A + 2I = O then

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

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

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

If a matrix A = (alpha_(i_j))_(3xx4) and alpha(i_j) = (-1)^(hati + hatj) , then the element fo 3rd row and 2nd column will be

If A=(a_(i j))_(nxxn) and f is a function, we define f(A)=((f(a_(i j))))_(nxxn ') Let A=([pi//2-theta,theta],[-theta,pi//2-theta]) . Then