关于行列式与矩阵的定义

On definition of determinant and matrix

在现行的一些版本的线性代数教材中,行列式与矩阵的定义存在错误或不足,并由此又派生出一些次生错误.比如把一阶阵看成了一个数等等.本文指出并纠正了这些错误,给出了经得起推敲的关于行列式与矩阵的定义.

In some present edition of linear algebra textbooks,there are some mistakes and deficits for definitions of determinant and matrix,therefore,with some secondary mistakes deviring at the same time.For example,the first order matrix is looked upon as one number and so on.The paper will point out and correct such mistakes,also give some absolute right definition ofdeterminant and matrix.