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stud

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This question (linear transformation):

http://i43.tinypic.com/15reiic.gif

According to theorem dimensions:

dim(V) = dim(Ker(T)) + dim(Im(T)).

dim(Ker(T))=2.

dim(V) in R^4, meaning =4.

We can therefore conclude that dim(Im(T))=2.

But how can find this specific linear transformation?

Please help me to solve this problem.

Thanks.