Math 110 Homework Assignment 8 Due Date 11 2016 1 Determine If The Linear Transf

Please help with the question 4

4. For each of the following subsetsWofR3, either show that they are subspaces, orshow why they aren’t subspaces by explaining which of the three conditions don’t hold.(a)W={(x, y, z)∈R3|x2+y2=z2}.(b)W={(x, y, z)∈R3|(x, y, z) is orthogonal to (3,1,−2)}.(c)W={(x, y, z)∈R3|x+y+z>0}.

 

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