Recent content by 1LastTry

  1. 1

    How to draw graphs and level curves?

    how do you exactly describe it?
  2. 1

    How to draw graphs and level curves?

    maybe this will clear things up
  3. 1

    How to draw graphs and level curves?

    Homework Statement f(x,y,z) = 4x^2 + y^2 + 9z^2 another one is xy+z^2 how do u draw level curves and graphs for these? Homework Equations The Attempt at a Solution Just need somewhere to start Thanks
  4. 1

    Linear Algebra - Field Subspace

    isn't f(y) itself is a zero vector since it add itself = 0?
  5. 1

    Linear Algebra - Field Subspace

    that W is closed under addition and multiplication and it contains the zero vector. But I don't understand how to show this, i mean like can't you just say f(y) + g(y) = 0 + 0 = 0 , where both f and g are in U?
  6. 1

    Linear Algebra - Field Subspace

    f+g = 0 and cf =0? and they are both in U? Zero vector 0(y) = 0 ?
  7. 1

    Linear Algebra - Field Subspace

    criteria is that f(y) = 0 so let g(y) also be in U f(y) + g(y) = (f+g)(y) = 0 for multiplication c(f(y)) = (cf)(y) = 0 This is what I can come up with. so is 0v just passes by the additive identity where f(y) + g(y) = 0 + 0 = 0?
  8. 1

    Linear Algebra - Field Subspace

    maybe this will clear things up:
  9. 1

    How do I prove the subspace property for M and N in Linear Algebra?

    can we just assume there is a non-zero vector a1, a2 that's in both m and n for it to be in m, we know a1 = x 1 and a2 = 0 component vector thingie and since it's a non-zero vector, you know x1 does not equal the zero component vector now, apply a1,a2 to N since a1 is not a zero-component...
  10. 1

    How do I prove the subspace property for M and N in Linear Algebra?

    So M and N intersect when (x,y) is contained in both M and N... if M = (x1, 0v2) and N = (0v1, x2) shouldn't the intersection calculated by when the difference of those is = 0? So you can get the point where both M and N contains?
  11. 1

    How do I prove the subspace property for M and N in Linear Algebra?

    Sorry about that typo. So for the intersection, is when the two vectors intersect right? And this wants me to prove that their intersection is at the 0v. So can I do something like (x,y) - (a,b) = (0,0) <--(where x,y and a,b are two vectors, so the intersection is when they are at the same...
  12. 1

    How do I prove the subspace property for M and N in Linear Algebra?

    let y1 = (m1, 0v2) be in M and let y2 = (0v1, m2) also be in M so prove that cy1 + y2 is also in M?
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