Recent content by DmytriE

When you say that this is incorrect, are you referring to my rational regarding symmetrical matrices or vector linear independence?

Can someone confirm or refute my thinking regarding the diagonalizability of an orthogonal matrix and whether it's symmetrical? A = [b1, b2, ..., bn] | H = Span {b1, b2, ..., bn}. Based on the definition of the span, we can conclude that all of vectors within A are linearly independent...

Yes, DrClaude those are the equations I was referring to. Do you have a quick concrete example? Maybe using a deck of a cards where I can actually see it for myself.

We're currently studying counting and the different equations which are the foundation of probability (permutations and combinations). I understand that permutations are used when order is taken into account and combinations is for when order doesn't matter. However, the two equations appear...

Thank you everyone! I finally figured it out using integrating factors. As for guessing, would you guess Ce^-t as a good solution because the function is forced by e^-t?

How can you tell when a first differential needs to use an integrating factor?

I'm sorry but you've now lost me. Why am I trying C=C(t)?

Is the integration constant e^{\int x(t) dt} or e^{\int a dt} ? I guess the only integration factor that makes sense is the later of the two.

Homework Statement Consider the first order differential equation \frac{dx(t)}{dt} + ax(t) = f(t), x(0) = x_{0}, t\geq0 Suppose the "input signal" f(t)=e^{-t}, t\geq0 . (a) Find the solution to the equation. Find a condition on the parameter a so that the solution of the (forced) system...

This is precisely what I am confused about. Is there a rule that applies to the (-1)^k or do I have to input a couple numbers for a_k ?

Good morning everyone, I am taking a signals and systems course where we are now studying the Fourier series. I understand that this is for signals that are periodic. But I get hung up when determining the Fourier coefficients. In the video by Alan Oppenheim, he derives the equation for...

A more general question is how do I treat unit step functions in a convolution problem?

I'm in class watching my professor teaching us about convolution. However, he keeps doing this by creating graphs and stuff. Is there a method through which I can solve convolution problems without having to draw the graphs?

Thank you very much! I was having trouble understand how to find Vth. With your help and some help of my classmate I feel confident in finding VTh and RTh.

Here are the values for each resistor: R1: 5.6k, R2: 12k, R3: 2.2k, R4: 15k, R5: 1k VDC: 12V R1 || R2 = 3.818k R3, R12, R5 are all in series: 7.018k R3.12.5 || R4: 4.781k https://docs.google.com/file/d/0B70IRvZhJgh0eTdxZ2ZVeS1aamc/edit?usp=sharing RTh = Vin / I1 I1 = 935uA RTh = 12V / 935uA...