1. introduction

对于一个 M22 矩阵空间，其 dimM22=4，基的构成如下：

{(1000)(0010)(0100)(0001)}

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：

{t3,t2,t1,1}

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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