If `A&B` are square matrices such that `A+B=I` , `AB=1`, and `A^(6)-3A^(5)+3A^(4)-A^(3)+A^(2)-A = nl` ,then `n^(2)` is equal to

If A&B are square matrices such that A+B=1,AB=1, and A^(6)-3A^(5)+3A^(4)-A^(3)+A^(2)-A= nI , then n^(2) is equal to

If A and B are two square matrices such that AB=A and BA=B , then A^(2) equals

Let A and B are square matrices of order 3 such that AB^(2)=BA and BA^(2)=AB . If (AB)^(2)=A^(3)B^(n) , then m 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 "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 the same order and AB=3I , then A^(-1)=

If a and B are square matrices of same order such that AB+BA=O , then prove that A^(3)-B^(3)=(A+B) (A^(2)-AB-B^(2)) .

Let A and B be two non-singular square matrices such that B ne I and AB^(2)=BA . If A^(3)-B^(-1)A^(3)B^(n) , then value of n is

If a^(3) - b^(3)= 210 and a-b=5 , then (a+b)^(2)-ab is equal to :