If A and B are square matrices of order 3 such that `A^(3)=8 B^(3)=8I` and det. `(AB-A-2B+2I) ne 0`, then identify the correct statement(s), where `I` is idensity matrix of order 3.

If A and B are square matrices of order 3 such that A^(3)=8 B^(3)=8I and det. (AB-A-2B+2I) ne 0 , then identify the correct statement(s), where I is identity matrix of order 3. (A) A^(2)+2A+4I=O (B) A^(2)+2A+4I neO (C) B^(2)+B+I=O (D) B^(2)+B+I ne O

If A and B are square matrices of order 3 such that A^(3)=8 B^(3)=8I and det. (AB-A-2B+2I) ne 0 , then identify the correct statement(s), where I is identity matrix of order 3.

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

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 the same order and AB=3I , then A^(-1)=

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

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=[(3,-4),(-1,2)] and B is a square matrix of order 2 such that AB=I then B=?

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.