空间同构(isomorphic)
1. introduction
对于一个 M22 矩阵空间,其 dimM22=4,基的构成如下:
则:M22≅R4
对于 P3 多项式空间,也即:P3:at3+bt2+ct+d,其基也有如下的四个元素构成:
同样地,也有 P3≅R4
定理:两个有限维空间是同构的 ⇔ 它们的维度相同。
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