Hi, I had to prove that if T(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}=T then the direct sum of im(T) and ker(T) is a vector space, and I did that, but now I am suppose to find such a T that isn't the zero operator (I'm not even sure what that is, just a transformation that makes any vector zero?) or the identity operator. Problem is I can't think of any . I am just trying to think of a transformation T^{2}=T, but none of what I have thought of works, any help please?

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# Homework Help: Find a Linear Transformation such that T squared = T

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