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    I understand what subspaces are and how to verify whether sets like V = {(x, 3 x): x ∈ R} are subspaces of R^n, but I really don't get what these questions are asking. Can someone explain them to me in simple terms? Thanks
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    (Original post by Brian Moser)
    I understand what subspaces are and how to verify whether sets like V = {(x, 3 x): x ∈ R} are subspaces of R^n, but I really don't get what these questions are asking. Can someone explain them to me in simple terms? Thanks
    Name:  ImageUploadedByStudent Room1422562599.253936.jpg
Views: 52
Size:  30.9 KB



    Posted from TSR Mobile
    The first is saying:

    "Take two functions f_1,f_2 in the given space (real valued functions over \mathbb{R}), both of which map 1 to 0. Does the linear combination af_1 +bf_2 with a,b \in \mathbb{R} also map 1 to 0?"
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    (Original post by atsruser)
    The first is saying:

    "Take two functions f_1,f_2 in the given space (real valued functions over \mathbb{R}), both of which map 1 to 0. Does the linear combination af_1 +bf_2 with a,b \in \mathbb{R} also map 1 to 0?"
    Great, thanks for the help. What about for parts c and d? Also, am I correct in thinking that the a is a subspace and b is not a subspace?


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