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.
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