1.A series of the necessary and Sufficient conditions of the diagonalizable orthogonaltransformation and orthogonal matrix is given.

1.获得一种求矩阵的特征向量的简便方法。

2.One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.

2.摘要本研究四元数量子力学中一类要求其解是规或四元数矩阵的特征值反问题。

3.This paper discusses the structure, calculation of multiplication and power, eigenvalue and eigenvector, and diagonalizable problems of matrix of rank equal to 1.

3.摘要秩等于1的矩阵的结构、乘法与乘幂运算、特征值与特征向量和问题进行讨论。