Let A,B,C,D be real matrices such that `A^(T)=BCD,B^(T)=CDA,C^(T)=DAB and D^(T)=ABC` for the matrix M=ABCD then find `M^(2016)`?

Let A,B,C,D be real matrices such that A^(T)=BCD,B^(T)=CDA,C^(T)=DAB and D^(T)=ABC for the matrix M=ABCD then find M^(3) ?

Let A, B, C, D be (not necessarily ) real matrices such that A^(T) = BCD , B^(T) =CDA, C^(T) = DAB and D^(T) =ABC for the matrix S = ABCD the least value of k such that S^(k) = S is

Let A, B, C, D be (not necessarily square) real matrices such that A^T=BCD: B^T=CDA; C^T=DAB and D^T=ABC. For the matrix S=ABCD, consider the two statements. I. S^3=S II. S^2=S^4 (A) II is true but not I (B) I is true but not II (C) both I and II are true (D) both I and II are false

If A is a nonsingular matrix such that A A^(T)=A^(T)A and B=A^(-1) A^(T) , then matrix B is

If A and B are two matrices such that AB is defined; then (AB)^(T)=B^(T).A^(T)

For the following matrices,(A+B)^(T)=B^(T)+A^(T)=A^(T)+B^(T)

Let A and B be two square matrices of the same size such that AB^(T)+BA^(T)=O . If A is a skew-symmetric matrix then BA is

If A is a non-singular matrix such that AA^(T)=A^(T)A and B=A^(-1)A^(T), the matrix B is a.involuntary b.orthogonal c.idempotent d. none of these

Let a be square matrix. Then prove that A A^(T) and A^(T) A are symmetric matrices.

Consider three square matrices A, B and C of order 3 such that A^(T)=A-2B and B^(T)=B-4C , then the incorrect option is