If B, C are square matrices of order n and if \[A=B+C,\text{ }BC=CB,\text{ }{{C}^{2}}=0\], then for any positive integer \[N,{{A}^{N+1}}={{B}^{K}}[B+(N+1)C],\] then K/N is

If B, C are square matrices of order n and if \[A=B+C,\text{ }BC=CB,\t

1.	If B, C are square matrices of order n and if \[A=B+C,\text{ }BC=CB,\text{ }{{C}^{2}}=0\], then for any positive integer \[N,{{A}^{N+1}}={{B}^{K}}[B+(N+1)C],\] then K/N is
A.	1
B.	½
C.	2
D.	None of these
Answer» B. ½

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If B, C are square matrices of order n and if \[A=B+C,\text{ }BC=CB,\text{ }{{C}^{2}}=0\], then for any positive integer \[N,{{A}^{N+1}}={{B}^{K}}[B+(N+1)C],\] then K/N is

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