Recent content by retracell

So then I would just check the the nullspace and the dimension of the range? What would be the form of my answer? A matrix?

Yes vector spaces. What do you mean by what element? Would R^3 simply be some vector v=(v1, v2, v3)?

Homework Statement Construct an isomorphism from a 2 by 2 symmetric matrix to R^3.Homework Equations N/AThe Attempt at a Solution I know that for a transformation to be an isomorphic, it must be one-to-one and onto. Would the transform be T:A->R^3 and I would have to choose a general matrix A...

Sorry to bring this up again but I'm working on a similar probably and I do not understand how you found the range. At the point when you have a system of four equations 9d= l, -6c= k, 3d- 2b= j, and 2c= i, why did you choose the second and fourth equation to work with? Wouldn't the first and...

Great thanks! Worked it out. So I guess I'm going by the fact that because my complementary solution has a constant term, I just multiply (At+B) by t.

Wow I haven't been checking on my question for a while. I think the most basic understandable answer was that as you double the frequency, the dB rises by 6. I'm currently studying sophomore computer engineering so anything more fancy is not necessary... yet. Oh and I really got mixed up with...

Homework Statement Find a general solution to \frac{d^2x}{dt^2}-2\frac{dx}{dt}=1-4t+e^t Homework Equations None really. The Attempt at a Solution I know that a complimentary solution is x=c_1+c_2e^{2t} But when I try to guess say: x_p=At+B+Ce^t and plug into the DE, I do not get...

I understand that pass and band filters are not really described by their gain but by their slope. Apparently for a low pass filter it is -6db/octave? I think an octave means a doubling of the angular frequency but I'm not too sure. And also the equation for a integrator with feedback...

Actually I just solved this question after much head scratching. I'm going to post it here for reference if needed because I know a lot of Google searches point to Physics Forums. Letting u=\frac{x}{t} then \frac{dx}{dt}=t\frac{du}{dt}+u Substituting into original DE you'll get...

Sorry I messed up the original equation. The one I need help on isn't as simple. :/

Homework Statement Find the general solutions to \frac {dx}{dt} = \frac {x+t}{x-t} Edit: Sorry I messed up the original equation. Homework Equations No idea.The Attempt at a Solution I tried to use substitution u=x+t to change it into a separable equation but I only got to: \frac {du}{dt} =...

Thanks! That's how I think of it too but I don't understand why it must minimize the change inside the loop and not outside the loop. If you grip it so that your fingers point out of the paper outside the loop, the current flows clockwise.

Hey I'm having trouble with this problem too. What was the answer and how did you obtain it? Is it counterclockwise?

Homework Statement A small 10kg cardboard box is thrown across a level floor. It slides a distance of 6.0m, stopping in 2.2s. Determine the coefficient of friction between the box and the floor. Homework Equations \[\Delta d={{v}_{0}}t+\frac{1}{2}a{{t}^{2}}\] \[{{F}_{net}}=ma\] The...

Homework Statement How is the rate constant related to temperature when other variables are constant Homework Equations Arrhenius equation: k=Ae^Ea/RT The Attempt at a Solution I know it is just a matter of rearranging but I can't seem make it end up as k ∝ T in some way. I tried using...