If A,B and C arae three non-singular square matrices of order 3 satisfying the equation `A^(2)=A^(-1)` let `B=A^(8) and C=A^(2)` ,find the value of det (B-C)

If there are three square matrix A,B,C of same order satisfying the equation A^(2)=A^(-1) and B=A^(2) and C=A^((n-2)) then prove that det.(B-C)=0,n in N

If there are three square matrix A, B, C of same order satisfying the equation A^2=A^-1 and B=A^(2^n) and C=A^(2^((n-2)) , then prove that det .(B-C) = 0, n in N .

If there are three square matrix A, B, C of same order satisfying the equation A^2=A^-1 and B=A^(2^n) and C=A^(2^((n-2)) , then prove that det .(B-C) = 0, n in N .

If there are three square matrix A, B, C of same order satisfying the equation A^2=A^-1 and B=A^(2^n) and C=A^(2^((n-2)) , then prove that det .(B-C) = 0, n in N .

If A ,B,C are three non-singular matrices of same order and |A| is a function of x and A^(2)=A^(-1),B=A^(2^(n)),C=A^(2^(n-2)) , n in N .If f'(x)=det(B-C) and f(7)=5 ,then the value of f(5) is

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

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

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

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

If A,B,C are three square matrices of the same order such that A= B +C, then det A is equal to