扩充基定理的应用

The application of the theorem of expanding basis

基的扩充定理是高等代数中研究及解决问题的一个重要工具,有着广泛的应用.本文利用扩充基定理证明了推广后的维数公式,并且证明了满足一定条件的线性变换和基的存在性.

The theorem of expanding basis is an important tool widely used in the higher algebra studies. Using the theorem of expanding basis, the text proves the popularized dimension formula and the existence of linear transformation and basis meeting special requirements.