The Geometric Interpretation of the Determinant

Determinant,noun [ C ] UK  /dɪˈtɜː.mɪ.nənt/

蓝色平行四边形与单位正方形（红色）之比：6

行列式 determinant 的值：6

两者相等是一种一种巧合吗？

The fact that the area equals the value of the determinant

The properties in the definition of determinants make reasonable postulates for a function that measures the size of the region enclosed by the vectors in the matrix.

行列式定义中的性质为 测量矩阵中向量所包围区域大小的函数 提供了合理的假设。