线性无关向量组的几个性质及其应用

Several Natures and the Application of the Linear Independent Vector Group

线性无关的向量组组成的矩阵在某些方面和非奇异阵有着相似的性质,但与非奇异阵又有着一些本质的区别。本文首先讨论了几个有关性质, 然后证明几个关于矩阵秩的问题。

The matrix composed of the linear independent vector group is similar in some natures to the nonsingular matrix. However, there is an essential distinction between it and the nonsingular matrix. The author will discuss some natures concerned and then prove several questions about the matrix rank.