二次型化标准形常采用配方法，而二次型化标准形等价于它的矩阵合同对角化，文中利用初等矩阵和初等变换之间的关系。
Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.
本文就线性代数中几个重要知识点：线性变换、线性方程组的解、矩阵对角化等的逆向问题进行研究。
The inverse problems are researched on linear transformation, system of linear equations, diagonalizing of matrix, and so on.
证明并给出一种构造可对角化矩阵的相似逆变换矩阵的新方法。
This paper proves and provides a new method for constructing the similarity inverse transformation matrices of diagonalization matrix.
本文基于反对称矩阵的谱集，采用正交相似变换，得到一类具有零对角的符号模式矩阵具有唯一惯量的结论。
Based on the spectral set of skew-symmetric matrix, the result that a class sign pattern matrix with zero diagonal is unique inertia was proved by using orthogonal similarity transformation.
该算法基于通信源信号的统计特性，利用数学上通过矩阵初等变换实现矩阵对角化的原理对MIMO信道矩阵实现了对角化。
This algorithm diagonalizes the MIMO channel matrix based on the statistics of the source signals by using the elementary matrix transformation in mathematics.
文章针对特征矩阵施行初等变换，提出了求出矩阵特征值和特征向量的一种方法，从而以简捷的方式将矩阵相似对角化。
The model of the defect of 1-D photonic crystal, which is defect in symmetry, is set up based on the solution of eigen matrix.
文章针对特征矩阵施行初等变换，提出了求出矩阵特征值和特征向量的一种方法，从而以简捷的方式将矩阵相似对角化。
The model of the defect of 1-D photonic crystal, which is defect in symmetry, is set up based on the solution of eigen matrix.
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