In this paper, we extend the notion of banded matrices to matrices where two bands are allowed, called double banded matrices. Our main aim is to establish the periodicity of the determinants for $(0,1)$ double banded matrices. As a corollary, we answer to two recent conjectures and other extensions. Several illustrative examples are provided as well.

中文翻译：

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(0,1) 双带状矩阵的周期行列式性质

在本文中，我们将带状矩阵的概念扩展到允许有两个带的矩阵，称为双带状矩阵。我们的主要目标是建立行列式的周期性$(0,\mathrm{1个})$双带状矩阵。作为推论，我们回答了最近的两个猜想和其他扩展。还提供了几个说明性示例。