Recent content by sheepover

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    Linear Algebra - Least Squares

    Homework Statement Test these two equations, using least-squares fitting of the data (ti, bi), i = 1, 2, . . . , 100:1. b(t) = d_{1} + d_{2}te^{-t} + d_{3}t^{2}e^{-2t}2. b(t) = d_{1} + d_{2}\sqrt{t}e^{-\sqrt{t}} + d_{3}te^{-2\sqrt{t}} where d1, d2, d3 in R are unknown. For both theories...
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    Proving Direct Sum Decomposition: V=(C*1) \oplus W

    Also, I can't figure out a way to do this :frown: I'm really struggling with this problem.
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    Proving Direct Sum Decomposition: V=(C*1) \oplus W

    C^n is a dimension of order n, so does that mean W must be a dimension of order n as well? I'm not exactly sure what this means. This is what I was trying to do: If we want to prove C*1 (intersect) W = {0} pick (a1, ..., an) such that (a1,..., an) is an element of C*1 (intersect) W...
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    Proving Direct Sum Decomposition: V=(C*1) \oplus W

    I'm also working on this problem. To me it seems like the only way V=(C*1) \oplus W can be true is if all coordinates in W=0. I'm not sure how to show this, or why it is even true. Can anyone please help?
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