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 are (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 prove that S^(3) = S .

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 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 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

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

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

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 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

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