Recent content by Abtinnn

  1. Abtinnn

    Programs Physics and Neuroscience degree?

    Wow thank you so much for your response. I really appreciate the time you put into helping me!
  2. Abtinnn

    Programs Physics and Neuroscience degree?

    Thank you for your informative response. Would you be able to expand on what you said above a little bit? I would really appreciate that!
  3. Abtinnn

    Temperature and Movement

    Hey guys, I have been wondering about this for a long time, and I can't seem to reach a solid conclusion. If temperature of an object is related to the movement of its atoms, then is it true to say that a moving object have a higher temperature?
  4. Abtinnn

    Programs Physics and Neuroscience degree?

    Hello! I am currently in grade 12. I really like neuroscience and physics (more towards physics) and would like to pursue them in university. Would it be a good idea to do a physics and neuroscience double major or something? I'm thinking of really trying to combine the two, so that I do physics...
  5. Abtinnn

    A problem on the Image Space

    Thanks a lot!! I really appreciate it :)
  6. Abtinnn

    A problem on the Image Space

    I believe I understand it! Could you please check if I've got it right? Assume y ∈ im A then y = Ax = (AVV-1)x y = AV(V-1x) since V-1x ∈ Rn, then y ∈ im(AV) and im(A) ⊆ im(AV) Assume y ∈ im AV then y = AVx = A(Vx) since Vx ∈ Rn, then y ∈ im(A) and im(AV) ⊆ im(A) Therefore im(A) = im(AV).
  7. Abtinnn

    A problem on the Image Space

    If A is mxn and y ∈ im(A), then y can be written as Ax, where x ∈ Rn. If y ∈ im(AV) then y can be written as (AV)x, where x ∈ Rn.
  8. Abtinnn

    A problem on the Image Space

    Homework Statement [/B] If A is an mxn matrix, show that for each invertible nxn matrix V, im(A) = im(AV) Homework Equations none The Attempt at a Solution I know that im(A) can also be written as the span of columns of A. I also know that AV = [Av1 Av2 ... Avn] so im(AV) is the span of...
  9. Abtinnn

    A rocket problem

    That's not what I originally meant. What you're saying is that the speed of the satellite is too low to stay at orbit at R, and because of that a rocket pointing away from Earth exerts an outward radial force on the satellite to keep it in orbit. What I meant is the exact opposite. The...
  10. Abtinnn

    A rocket problem

    Sorry I may have used the wrong wording. What I meant is that the satellite cannot orbit the earth in a circular trajectory with that V and R, and because of that a rocket it helping it stay in an orbit by exerting a force directed towards the centre of the Earth. So the satellite is not...
  11. Abtinnn

    A rocket problem

    Oh alright. Thanks a lot!
  12. Abtinnn

    A rocket problem

    So you're saying that the rocket does no work on the satellite, but does work on the fuel by accelerating it?
  13. Abtinnn

    A rocket problem

    But the reaction force of that keeps the satellite in orbit, right?
  14. Abtinnn

    A rocket problem

    Assume that a satellite(mass m) is orbiting the Earth(mass M) at radius R and speed V (the orbit is circular). The satellite is in a position such that the force of gravity exerted on it by the planet is not enough to keep it in orbit. Therefore, the satellite has an engine, which always points...
  15. Abtinnn

    How to Find the Basis of an Image

    Thanks a lot! Is this method the same as the methods mentioned by the other members? I fail to see a similarity. If this is a different method, how many ways of finding an the basis of an image are there in total?
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