This question deals with vector sub-spaces. I know I need to demonstrate that 1.) V is not equal to 0, 2.) x,y = V -> x+y = V, and 3.) V is proportional to R, x = V -> is proportional to x = V. But I do not know where to start. Can someone give me a hand? The topic is Linear Algebra. Thank you in advance!

Write your solution on separate sheets of paper and attach them to this page before handing in. Show your work clearly Problem: Let (a) Show that V is a subspace of C2(R). Recall that C(R) is the (b) Show: If f e V, then f'E V. [HINT: You do not need to know (c) Show that D: V â V, given by space of all twice-differentiable functions on R.] what the functions in V look like.] D(v) is a linear transformation of V to itself. (d) Is D one-to-one? Is D onto?

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Bunny GreenfelderLv2

25 Oct 2019

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