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线性代数感悟之2
2022-04-23 17:02:00 【code bean】
最近在看 liuyubobobo 的 线性代数课,感觉很妙,有些感悟记录一下~~~
一点感悟:
矩阵的结合律秒啊! 矩阵的结合律非常重要
此图,分两步,先沿x轴翻转,再沿y轴翻转。
由于 矩阵的乘法是满足结合律的,所以我们可以将Tx*Ty先计算,得到一个全新的变换因子。
再用新的变换因子可以一次完成目的!!!
但是这里有个问题,矩阵的乘法是不满足交换律的,但是我们发现,先先沿x轴翻转,再沿y轴翻转与 先先沿y轴翻转,再沿下轴翻转,是一样的。
那是因为 Tx*Ty 恰好和 Ty*Tx 相等。
版权声明
本文为[code bean]所创,转载请带上原文链接,感谢
https://blog.csdn.net/songhuangong123/article/details/124359824
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