给出实矩阵的广义谱分解式，讨论广义正定实矩阵的特征根的一些性质。

In this paper, we give a general spectral resolution of real matrix and some properties eigenvalue of a general positive definite real matrix.

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它使用了对称矩阵特征根的包含原理和分隔定理，并利用了正矩阵特征根的性质。

By using the contain theory and partition theorem of symmetric matrix, three conjectures about YANG Hui matrix are cetified.

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本文在复数域上证明了哈密尔顿-凯莱定理，并给出方阵A的特征多项式的全部矩阵根。

The paper proved the Hamilton-Cayley theorem in complex number space, and indicated the all matrix root of the sign multinomial of matrix A.

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