Recent content by veege

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    Is Span{W} a Subspace of Vector Space V?

    The span is basically the set of all linear combinations of the vectors w1, w2, ... , wn. So then, I can define some vector S and some vector T in terms of w's: S = c1*w1 + c2*w2 + ... + cn*wn T = k1*w1 + k2*w2 + ... + kn*wn I think I get it now. I can see how S + T will be closed, and...
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    Is Span{W} a Subspace of Vector Space V?

    Homework Statement Suppose V is a vector space with operations + and * (under the usual operations) and W = {w1, w2, ... , wn} is a subset of V with n vectors. Show Span{W} is a subspace of V. The attempt at a solution I know that to show a set is a subspace, we need to show...
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    Lin. Algebra: Is P2 a subspace of P3

    thanks for the correction. oops, I meant R^2 and R^3. But I found a thread that helped me to understand this, here: https://www.physicsforums.com/showthread.php?t=129661
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    Lin. Algebra: Is P2 a subspace of P3

    Homework Statement Simple enough: Is P2 a subspace of P3? Homework Equations The Attempt at a Solution I think it is. All P2's can be written in the form 0x^3 + ax^2 + bx + c. Then, it's easy to see that it's closed under scalar addition and multiplication. Our professor...