This paper mainly discusses the new teaching model in order to get the win-win situation in the teaching effect of the course “linear algebra”. Actually the course Linear Algebra has the properties of large amount of content and small class time arranged, this paper proposes reducing the teaching content, using multimedia and mathematical software to assist teaching courses, and studying some applications of linear algebra combined with practical problems.%主要讨论新型教学模式,使得师生在《线性代数》课程教学效果上达到双赢。面对《线性代数》课程教学内容多、课时安排偏少的特点,提出精简教学内容、运用多媒体和数学软件辅助教学以及结合实际问题研究线性代数的一些应用。
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