If A and B are square matrices of order 3 such that `"AA"^(T)=3B` and `2AB^(-1)=3A^(-1)B`, then the value of `(|B|^(2))/(16)` is equal to

If A and B are square matrices of order 3, then

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

Let A and B are two non - singular matrices of order 3 such that |A|=3 and A^(-1)B^(2)+2AB=O , then the value of |A^(4)-2A^(2)B| is equal to (where O is the null matrix of order 3)

If A and B are square matrices each of order n such that |A|=5,|B|=3 and |3AB|=405, then the value of n is :

If A and B are square matrices of order 3 such that |A|=1 and ,|B|=4, then what is the value of |3AB|?

If A and B are square matrices of the same order such that B=-A^(-1)BA, then (A+B)^(2)

If A and B are square matrices of the same order 3 , such that |A|=2 and AB=2I , write the value of |B| .

If A and B are two non-singular matrices of order 3 such that A A^(T)=2I and A^(-1)=A^(T)-A . Adj. (2B^(-1)) , then det. (B) is equal to

Let A and B be two square matrices of order 3 such that |A|=3 and |B|=2 , then the value of |A^(-1).adj(B^(-1)).adj(2A^(-1))| is equal to (where adj(M) represents the adjoint matrix of M)

If A and B are square matrices of order 3 such that det(A)=-2 and det(B)=4, then : det(2AB)=