Let `A = [a_(ij)]` be `3 xx 3` matrix given by `a_(ij) = {(((i+j)/(2))+(|i-j|)/(2),if i nej,),((i^(j)-(i.j))/(i^(2)+j^(2)),if i =j,):}`
where `a_(ij)` denotes element of `i^(th)` row and `j^(th)` column of matrix `A`.
On the basis of above information answer the following question:
If `A^(2)+ pA + qI_(3) = 32 A^(-1)`, then `(p +q)` is equal to-

Let A = [a_(ij)] be 3 xx 3 matrix given by a_(ij) = {(((i+j)/(2))+(|i-j|)/(2),if i nej,),((i^(j)-(i.j))/(i^(2)+j^(2)),if i n=j,):} where a_(ij) denotes element of i^(th) row and j^(th) column of matrix A. On the basis of above information answer the following question: If a 3 xx3 matrix B is such that A^(2) +B^(2) = A +B^(2)A , then det. (sqrt(2)BA^(-1)) is equal to

For 2x3 matrix A=[a_(ij)] whose elements are given by a_(ij)=((i+j)^(2))/(2) then A is equal to

The square matrix A=[a_(ij)" given by "a_(ij)=(i-j)^3 , is a

The square matrix A=[a_(ij)" given by "a_(ij)=(i-j)^3 , is a

Construct a 2xx3 matrix A=[a_(ij)] whose elements are given by a_(ij)=(i-j)/(i+j)

The element a_(ij) of square matrix is given by a_(ij)=(i+j)(i-j) then matrix A must be

Construct a 2xx2 matrix A=[a_(ij)] whose elements are given by : a_(ij)=(2i-j)/(3)

Construct a 2xx2 matrix A = [a_(ij)] whose elements are given by: a_(ij)= (2i - j)/3

Construct a 3xx3 matrix whose elements are given by a_(ij)={{:((1)/(2)|2i-3j|","i!=j),(|2i-j|","i=j):}