If `Aa n dB` are two non-singular matrices of the same order such that `B^r=I ,` for some positive integer `r >1,t h e nA^(-1)B^(r-1)A=A^(-1)B^(-1)A=` `I` b. `2I` c. `O` d. -I

If Aa n dB are two non-singular matrices of the same order such that B^r=I , for some positive integer r >1,t h e nA^(-1)B^(r-1)A-A^(-1)B^(-1)A= a. I b. 2I c. O d. -I

If A a n d B are two non-singular matrices of the same order such that B^r=I , for some positive integer r >1,t h e n (A^(-1)B^(r-1)A)-(A^(-1)B^(-1)A)= a. I b. 2I c. O d. -I

If A and B are two non-singular matrices of the same order such that B^(r)=I, for some positive integer r>1, then A^(-1)B^(r-1)A=A^(-1)B^(-1)A=I b.2I c.O d.-I

If A and B are square matrices of the same order and A is non-singular, then for a positive integer n, (A^(-1)B A)^n is equal to

If Aa n dB are square matrices of the same order and A is non-singular, then for a positive integer n ,(A^(-1)B A)^n is equal to A^(-n)B^n A^n b. A^n B^n A^(-n) c. A^(-1)B^n A^ d. n(A^(-1)B^A)^

If Aa n dB are square matrices of the same order and A is non-singular, then for a positive integer n ,(A^(-1)B A)^n is equal to A^(-n)B^n A^n b. A^n B^n A^(-n) c. A^(-1)B^n A^ d. n(A^(-1)B^A)^

Statement 1: Let A ,B be two square matrices of the same order such that A B=B A ,A^m=O ,n dB^n=O for some positive integers m ,n , then there exists a positive integer r such that (A+B)^r=Odot Statement 2: If A B=B A then (A+B)^r can be expanded as binomial expansion.

If Aa n dB are two non-singular square matrices obeying commutative rule of multiplication then A^3B^3(B^2A^4)^(-1)A= (a)A (b) B (c) A^2 (d) B^2

Statement 1: Let A ,B be two square matrices of the same order such that A B=B A ,A^m=O ,n dB^n=O for some positive integers m ,n , then there exists a positive integer r such that (A+B)^r=Odot Statement 2: If A B=B At h e n(A+B)^r can be expanded as binomial expansion.

Statement 1: Let A ,B be two square matrices of the same order such that A B=B A ,A^m=O ,n dB^n=O for some positive integers m ,n , then there exists a positive integer r such that (A+B)^r=Odot Statement 2: If A B=B At h e n(A+B)^r can be expanded as binomial expansion.