對於從職場回流教育的學生而言，在面對數理方面的課程時，往往以其自己職場上的習慣性來做基礎，使得求解問題的步驟產生了許多認知上的錯誤。而反覆性的線性方程式組求解過程，學生常會因分數計算的障礙而導致計算錯誤，造成學習效果不彰，學習意願低落。本研究提出傳統的高斯消去法的修正，降低學生遇到分數運算而導致計算錯誤。以計算複雜度而言，修正後的演算程序的時間複雜度雖然仍是O(n^3)，但是在解題程序中的除法運算次數大為減少，學生計算錯誤的發生率也有明顯的降低，讓學生不致有題目設計不良的逃避藉口。

For the students that have been in the workplace for a long time and lack in actual practice time for the school courses, the mathematical aspect is difficult and should be spend more effort to familiar the traditional mathematical problem solving skills. This study proposes a modified problem-solving approach for the students in the learning of the system of linear equations. The fraction operation in the row elimination process can be reduced and the students would not have low willingness to learn due to the poorly designed problem. In terms of computational complexity, the modified procedure is still the same as the original time complexity, but the number of division operations is significant reduced in the problem solving process, the computer program can also achieve efficient improved. After the experiment trial, the calculate errors for the students are significantly reduced. The modified approach can be helpful for students to learning linear algebra.