If A and B are squares matrices such that `A^(2006)=O` and `AB=A+B`, then det (B) equals

if Aa n dB are squares matrices such that A^(2006)=Oa n dA B=A+B ,t h e n"det"(B) equals 0 b. 1 c. -1 d. none of these

If A and B are two square matrices such that B=-A^(-1)BA , then (A+B)^(2) is equal to

If A and B are square matrices of same order such that AB=O and B ne O , then prove that |A|=0 .

A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) , then k is

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 square matrices such that AB = BA then prove that A^(3)-B^(3)=(A-B) (A^(2)+AB+B^(2)) .

If A and B are square matrices of order 3 such that |A| = -1 and |B| = 3, find the value of |3AB|.