一类广义Fibonacci矩阵的秩

Rank of the Matrix of the Generalized Fibonacci of the Same Class

运用通项公式,证得广义Fibonacci数列的三个性质,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r,m≥k+1,k=1,2,3时,矩阵Dkm×r的秩都为k+1。

The three characteristics of generalized Fibonacci sequence are proved by using general term formula. If r, m ≥ k＋ 1, k= 1,2,3, the m×r Dm×r^k matrix made up of k-th power of continuous Generalized Fibonacci numbers is k＋1.