Re: [理工] [線代] 線性方程式觀念題
※ 引述《milicic2103 (神)》之銘言:
: (87年北科大通訊)
: If a linear system Ax=b has more than one solution,
: then so does the system Ax=0
: 答案是 true
: 有大大可以解釋一下嗎? 我不知道從哪推起 沒想法
if u and v are also solutions of Ax = b
then u - v is a solution of Ax = b, too.
A(u - v) = Au - Av = b - b = 0
it means b = 0
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