If `A & B` are square matrices of order 2 such that `A+adj(B^T)=[[2,1],[1,2]] & A^T-adj(B)=[[0,1],[1,0]]` then

Let A and B are square matrices of order 2 such that A+adj(B^(T))=[(3,2),(2,3)] and A^(T)-adj(B)=[(-2,-1),(-1, -1)] , then A^(2)+2A^(3)+3A^(4)+5A^(5) is equal to (where M^(T) and adj(M) represent the transpose matrix and adjoint matrix of matrix M respectively and I represents the identity matrix of order 2)

Let A and B are square matrices of order 2 such that A+adj(B^(T))=[(3,2),(2,3)] and A^(T)-adj(B)=[(-2,-1),(-1, -1)] , then A^(2)+2A^(3)+3A^(4)+5A^(5) is equal to (where M^(T) and adj(M) represent the transpose matrix and adjoint matrix of matrix M respectively and I represents the identity matrix of order 2)

If A is square matric of order 3, then |Adj(AdjA^(2))|=

If A and B are square matrices of order 3 such that det.(A)=-2 and det.(B)=1, then det.(A^(-1)adjB^(-1). adj (2A^(-1)) is equal to

If A and B are two square matrices of order 2xx2 such that A=[(-1,0),(0,1)] , B=[(1,0),(i,1)] (where i=sqrt(-1) ) and A^TB^2021A=Q then value of AQA^T is

If A and B are non - singular matrices of order three such that adj(AB)=[(1,1,1),(1,alpha, 1),(1,1,alpha)] and |B^(2)adjA|=alpha^(2)+3alpha-8 , then the value of alpha is equal to

If A and B are non - singular matrices of order three such that adj(AB)=[(1,1,1),(1,alpha, 1),(1,1,alpha)] and |B^(2)adjA|=alpha^(2)+3alpha-8 , then the value of alpha is equal to

Let A and B are square matrices of order 3 such that A^(2)=4I(|A|<0) and AB^(T)=adj(A) , then |B|=

If A and B are square matrices of order 3 such that det. (A) = -2 and det.(B)= 1 , then det.(A^(-1)adjB^(-1).adj(2A^(-1)) is equal to