作者mqazz1 (無法顯示)
看板Math
標題[線代] linear transformation
時間Mon May 9 19:13:54 2011
the linear transformation L: R2[x] -> R2[x] defined by L(ax^2 + bx + c)
= 2ax + b is one-to-one
書上說是句是錯的
請問是錯在哪邊呢?
謝謝
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→ wickeday :沒有1-1喔 L(c)=0 for all c 05/09 19:17
推 sm008150204 :L is one-to-one if and only if N(L) = {0} 05/09 22:46
→ sm008150204 :再加上樓上的例子就說明啦 05/09 22:47