linearly independent set

例句：

1. 1.In linear algebra, a linearly independent set is a set of vectors that can be multiplied together toform another vector without changing the sum ofthe components.
   在线性代数中，线性独立集是由向量组成的集合，这些向量相乘可以形成另一个向量，而不会改变分量之和。
2. 2. The conceptof linearly independent sets is crucial insolving systems of equations with many variables.
   线性独立集的概念对于解决具有许多变量的方程系统至关重要。
3. 3. In computer science, alinearly independent set is often used torepresent a graph's connectivity, wherean edge between two nodes is considered ifand only if they are linearly independent.
   在计算机科学中，线性独立集通常用于表示图的连通性，如果两个节点之间存在边，那么它们必须是线性独立的。