Quantcast
Channel: C++博客-所有随笔
Viewing all articles
Browse latest Browse all 7881

证明:任何向量a在正交变换P后模长不变

$
0
0
证明:
首先,|a|^2=a'a
设 Pa=b
|b|^2=b'b=(Pa)'(Pa)=aP'Pa=a(P'P)a=a'a,(根据正交矩阵性质,P'P=I)
所以,|a|=|b|.


abilitytao 2013-02-23 18:48 发表评论

Viewing all articles
Browse latest Browse all 7881

Trending Articles



<script src="https://jsc.adskeeper.com/r/s/rssing.com.1596347.js" async> </script>