摘要
设ｍ是大于１的正整数，Ａｍ是ｍ阶广义Ｆｉｂｏｎａｃｃｉ矩阵，＝｛Ａｋｍ｜ｋ∈Ｚ，ｋ≥０｝，本文证明了：Ｆｅｒｍａｔ方程Ｘｎ＋Ｙｎ＝Ｚｎ，Ｘ、Ｙ、Ｚ∈Ｚ，ｎ∈ＩＮ，ｎ＞２，无解（Ｘ，Ｙ，Ｚ，ｎ）。
Assuming that m is the positive integer which is bigger than one, Am is the extended Fibonacci Matrix in the order of m, = { Akm|k∈ Z, k≥0}. This paper attempts to prove that the Fermat equation Xn + Yn = Zn, X、 Y、Z∈, n∈ IN, n >2, unsolvable(X, Y, Z, n).
