作者ntust661 (XDeutesh)
看板Grad-ProbAsk
標題[理工][工數]-96台大-機械所
時間Tue Jan 3 22:51:02 2012
Find the transformation matirx (P) from the f basis to the standard
2
basis { e1(t) = 1 , e2(t) = t , e3(t) = t } for V
this is , (k) = P (k)
e f
(k) is the coordinates of the vector k(t) with respect to the standard
e
basis.
2 2
f1 = t , f2 = 2 + t , f3 = t - 2t (f basis for V)
2
k(t) = 1 - 2t + t
我算出來跟喻老的矩陣差一個 transpose
想問我哪裡錯了
2
[ t ] [0 0 1][ 1 ]
[ ] [ ][ ]
[ 2+t ] = [2 1 0][ t ]
[ 2 ] [ ][ 2]
[ t-2t ] [0 1 -2][ t ]
↑ P 我這樣算是對的嗎?
先謝謝各位看完我的文章,請大大們不吝指正QQ
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◆ From: 61.224.175.3
※ 編輯: ntust661 來自: 61.224.175.3 (01/03 22:51)
→ ejialan:他是要 (k)_e = P (k)_f 不過要差應該是差個inverse 01/04 12:50
推 harrypotter2:基底"行並列"成矩陣 01/04 20:09