[理工] [線代] 線性映射

[bjk (Up2u)]

E={u1,u2,u3} , F= {b1,b2}
u1=(1,0,-1)^t u2=(1,2,1)^t u3=(-1,1,1)^t
b1=(1,-1)^t b2=(2,-1)^t
L(X)=(X1+X2,X1-X3)^t from R3 to R2

find representing L with respect to the order base E and F

可以這樣解嗎

[1   2]^-1 [1 1  0] [ 1 1 1]
[-1 -1]    [1 0 -1] [ 0 2 1]
                    [-1 1 1]

--
When we toss a coin , we obtain either head or tail. Now we toss a coin 5
times. There are 2^5 possible outcomes. How many of them contain no two
consecutive heads?

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◆ From: 59.105.81.56
推 JiDung:不是本來就這樣解嗎@@
推 Jerrynet:yes
→ bjk:我怎麼解出來答案不對QQ
→ mp8113f:ok吧 矩陣最後一個元素是-1 是你打錯嗎 還是抄錯
抄錯了，難怪都算錯

[1   2]^-1 [1 1  0] [ 1 1 -1]
[-1 -1]    [1 0 -1] [ 0 2  1]
                    [-1 1  1]


[-5 -3  4]
[ 3  3 -2]
※ 編輯: bjk             來自: 59.105.81.56         (02/02 22:44)
→ bjk:有人有算嗎，這樣對嗎?
推 mp8113f:你不要計算錯誤 就是答案了 0.0
→ bjk:恩恩 3QQ
推 Demonic221:想請問這種算法是用換底公式嗎? 不是很懂@@"