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1·Finally, a sufficient and necessary condition of the diagonalizable block compound matrices is proved.

最后让明了块复合矩阵可对角化的一个充要条件。

2·By decomposing a matrix into one diagonalizable matrix and two orthogonal matrixes, singular value decomposition has very good properties.

奇异值分解是将一矩阵分解为一个对角矩阵和两个正交矩阵，奇异值分解有着非常好的性质。

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

本文研究了四元数量子力学中一类要求其解是正规或可对角化四元数矩阵的特征值反问题。