Re: [理工] [線代]-Linear transformation
※ 引述《gn00618777 (123)》之銘言：
: n n
: Let T: R ---> R be a linear transformation. Prove that,if
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: T(T(x))=T(x)+T(x)+3x,for all x 屬於R , Then T is one to one
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: mapping of R into R
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設 for all x屬於ker(T) →T(x)=0
則T(0)=0+0+3x=0 →3x=0 →x=0
證明了在ker(T)裡只有0向量
所以T為一個one to one
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