【摘要】 线性空间直和分解问题在数学、力学及许多应用领域有着广泛的应用。本文利用哈密尔顿-凯莱定理得到了n维向量空间的一个适用范围更为广泛的直和分解定理和一些重要推论,拓展了向量空间直和分解使用范围,通过范例说明直和分解的具体方法和实际过程。更多还原

【Abstract】 The direct sum decomposition for finite dimension of linear space has a wide application in mathematics,mechanics and other applied areas.This paper provides a new theorem for the direct sum decomposition,and proves a direct sum decomposition theorem for finite dimension of linear space by the Cayley-Hamilton theorem.And in its application,it deduces the well-known direct sum decomposition theorem.Finally,two examples are discussed to illustrate the methods of direct sum decomposition.更多还原