广义Fibonacci数列与矩阵的秩

Generalized Fibonacci sequence and the rank of the matrix

主要研究了广义Fibonacci数列的性质。运用递推关系,证得广义Fibonacci数列的几个性质,进而得到由连续m×r个广义Fibonacci数的k次方所组成的m行r列矩阵Dkm×r.当m,r 5时,矩阵D4m×r的秩为5.

We study the characteristics of the generalized Fibonacci sequence. Several characteristics of Generalized Fibonacci sequence are proved by using recursive relation to convert m × r matrix Dm×r^k made up of k-th power of continuous Generalized Fibonacci. If m, r≥5, the rank of the matrix Dm×r^k is 5.