[" 13) If "B" ,"C" are "n" rowed square matrices and if "A=B+C,BC=f" ,"quad " C "],[" every "n in N,A^(n+1)=B^(n)(B+(n+1)C)]

If B,C are n rowed square matrices and if A=B+C,BC=CB,C^(2)=O, then show that for every n in N,A^(n+1)=B^(n)(B+(n+1)C)

If B ,\ C are n rowed square matrices and if A=B+C , B C=C B , C^2=O , then show that for every n in N , A^(n+1)=B^n(B+(n+1)C) .

If B, C are a rowed squre matrices and if A=B+C, BC= CB, C^2=0, then show that A^(n-)=B^n(B+(n+1)C)AA^nin N.

If B, C are square matrices of order n and if A = B + C , BC = CB , C^2=0 then which of the following is true for any positive integer N

If A,B and C are n xx n matrices and det(A)=2,det(B)=3 and det(C)=5 then the value of the det (A^(2)BC^(-1)) is equal to

If B,C are square matrices of order n and if A=B+C,BC=CB,C^(2)=0 then which of the following is true for any positive integer N

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)^

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

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