problem of matrix

2007-08-06 3:17 am
let A represents the rotation about origin through an angle pi/4 and B represents the reflection about y-axis.

Let C be the composite transformation obtained by transformed by A and then B.D be the composite transformation obtained by transformed by B and then A.

why C = C^-1 and D = D^-1 ???

can i know that without calculations?

plx answer detailed,thx a lot!!!!!!

回答 (1)

✔ 最佳答案
你可以拿張紙(最好有透明膠版),畫個十字同45度線,再在上面隨意畫一點,把它轉和反 看看便成。

http://mathworld.wolfram.com/DihedralGroup.html
http://en.wikipedia.org/wiki/Dihedral_group
你的問題其實是有關上面的東西裡其中一個定理。


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