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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