The quadratic simplification was usually realized by an orthogonal matrix,which was constructed by Schmidt method.The process of quadratic simplification was expressed clearly and intuitively with a matrix multiplication by semi-tensor product.%二次型化简一般是通过施密特正交化方法构造正交矩阵,利用正交矩阵将二次型对角化来实现的.矩阵的半张量积将二次型的化简过程以矩阵乘积的形式表述,使得对角化过程清晰直观.
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