Recent content by LeakyFrog

Hey I'm studying for an exam and one of the things i need to know is this: 4. Given the eigenvalues of a matrix: a) Determine the characteristic polynomial. b) Find vectors than can act as bases for the associated eigenspaces. Part a seems relatively straight forward but for part b I...

Homework Statement If an nxn matrix has rank n how do you know it's invertible? The attempt at a solution I know that by the Fundamental Theorem of Invertible Matrices if Rank(A) = n then A is invertible. However, I don't know if that is enough of an answer so it kind of seems like I'm...

Dude thank you soooo much for clearing that up. Makes perfect sense now. And I learned what norm means. F' Yeah!

Hello, I am studying for an exam in Linear Algebra. My teacher gave us an outline of things that we need to know and one of them is this: Find the norm of a vector v in n-dimensional space. Use it to find a unit vector in the same direction as v. I was just hoping someone might be able to...

There is an attached image I couldn't figure out how to make it in the post. The attempt at a solution a) So I know that the direction of the velocity vector will be in the direction on the displacement vector from P to Q: 2i+5j+3k I also know that the magnitude of the velocity vector is...

So after taking the dot product of the two vectors I got P1.P2 = -80m*80m + 200m*200m + 25m*25m = 34225m2 then I took that and divided it by the magnitude of the vectors cos(theta) = 34225m2/216.85m2 used inverse cosine and found theta = 43.30 degrees. Does that method all...

Homework Statement A basketball gymnasium is 25 meters high, 80 meters wide, and 200 meters long. For a half time stunt , the cheerleaders want to run two strings, one from each of the two corners above one basket to the diagonally opposite corners of the gym floor. What is the cosine of the...

Thanks. Another question, for part c) when you change the voltage on a circuit does the resistance stay the same? Or the current? Although I don't really see how the current could but maybe i suppose.

Homework Statement A 100-W heater is designed to operate with an applied voltage of 120V. a) What is the heater's resistance, and what current does the heater carry? b) Show that if the potential difference V across the heater changes by a small amount ΔV, the power P changes by a...

thanks dude (or dudette)! helped a bunch!

Homework Statement A block of carbon is 3cm long and has a square cross section whose sides are .5cm long. A potential difference of 8.4V maintained across its length. a)What is the resistance of the block? b)What is the current in this resistor? Homework Equations R=pL/A where p is...

Homework Statement you and your laboratory team have been given a project by your electrical engineering professor. Your team must design a network of capacitors that has an equivalent capacitance of 2 microF and breakdown voltage of 400V. The restriction is that your team must us only 2...

How did you know that C1 = C2? With that bit of knowledge I got D) (U/2) as the answer. Thanks for your help.

Homework Statement Two identical capacitors that have been discharged are connected in series across the terminals of a 100V battery. When only on of the capacitors is connected across the terminals of the battery, the energy stored is U. what is the total energy stored in the two capacitors...

Thanks. I guess it is 1% of the original power after all. Seems kind of strange that it would have to drop so dramatically for only 20dB.