这篇文章试图回答标题中的提问：矩阵乘法为什么是这样定义的？固然，数学中的名词定义都是人为的，有时它被定义得出乎意料以至于看似“随心所欲”，然而不合常理的定义绝不会有持久的生命力，早就被扫进了历史的垃圾箱。既然矩阵的乘法存在了至少一个半世纪，它就一定有其“任凭风吹雨打，我自岿然不动”的合理之处。我们的目标就在于论证它的合理性。

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