一道高等代数习题的证明

A Proof of An Exercise in An Advanced Algebra Textbook

结合行列式的计算性质,通过建立一个绝对值不等式,利用数学归纳法,给出某教材中一道有关主对角占优矩阵和严格主对角占优矩阵的习题的证明方法.

Combined with the determinant calculating quality, from which an absolute value inequality was established, as well as applied mathematical induction, one proof of the exercise, which is about diagonal dominant and strictly diagonally dominant matrices in an Advanced Algebra textbook, is given.