Recent content by nilwill

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    Proof that a vector space W is the direct sum of Ker L and Im L

    P:V→V and P2=P Let me see if I can define this better: so if V is the direct sum of U + W let P(v)=u let I am P be a complete subset of U; if u is an element of U P(u)=u, so I am P =U let Ker P be a complete subset of W; if v is an element of V and v is an element of W, the v=0+w for some...
  2. N

    Proof that a vector space W is the direct sum of Ker L and Im L

    Hi there. I'm a long time reader, first time poster. I'm an undergraduate in Math and Economics and I am having trouble in Linear Algebra. This is the first class I have had that focuses solely on proofs, so I am in new territory. Homework Statement note Although the question doesn't state...
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