Recent content by concon

Thanks, I already figured the solution out yesterday. Of course I always use better variable names, but the reason I was even posting a question on here is I lost part of my program and had to rewrite most of it and forgot some of the specifics for file IO. I guess I learned my lesson to never...

Homework Statement Hey everyone, I have a question regarding file IO in java. My assignment says: Extend program 2-add menu items Open(reads employees from a file),Save(writes employees to a file already specified), and Save As(writes employees to a new or different file than the one...

whoops forget to scale that one! Thanks for all your help I really appreciate it! For some reason the scaling thing didn't register with me on what the professor wanted and I was confused with the sign changing.

yes that is what the professor meant. So we already have 1 as eigenvalue. The question specificies that only real values of λ to be included. Earlier in the thread I solved for the eigenvalues and got λ= sqrt(1/2) + isqrt(1/2) which isn't a real number right? So should answer just be{1}?

I think that yes it would have to be affected now that I think about it.So then should u = (0,0,1) since e3 points in direction of z?

Okay so scaling would give me: 1 2 0 1 1 0 -1 -1 1 Is this correct?

Wouldn't the vectors e1,e2,e3= {(1,0,0),(0,1,0),(0,0,1)} be unaffected?

Wait but doesn't normalizing a vector mean taking v1/||v1|| ? How would that give me a 1 as the first nonzero component? Also if I use v2 = 2,1,-1 do I also need to normalize it if the 2 isn't negative?

Just thinking, but does that mean that 1 must be one of the eigenvalues? We haven't been over this in class so I'm just guessing, but is a zero vector unaffected by rotation?

Okay here is calculation again for v2: λ=2 (4-2) -4 0 2 (-2-2) 0 -2 5 1 simplified: 2 -4 0 2 -4 0 -2 5 1 row 1 minus row 2 2 -4 0 0 0 0 -2 5 1 row 1 plus row 3 2 -4 0 0 0 0 0 1 1 divide row one by 2 1 -2 0 0 0...

This seems like it might be wrong, but I did the usual procedure for finding eigenvalues and got λ = sqrt(1/2) + sqrt(2)/2 Is this right? I think I might have solved the equation wrong?

So I took each value 0,2,3 and did (A-λI)X = 0 For zero: (4-0) -4 0 2 (-2-0) 0 -2 5 (3-0) then I reduced and got v1 = -1,-1,1 and did same process for the other values and got v2=-2,-1,1 v3=0,0,1 Everytime I solve this problem I get the same values, but the...

So then what is/how do i find P?

Homework Statement The matrix A transforms space by rotating counterclockwise around z axis by ∏/4. -What is A? -Find a unit vector s.t. Au=u (make sure the first nonzero is positive) -for what λ's does Au = λu? write answer as a set {a,b,...} Homework Equations Unit vector u =...

What do you mean? That the eigenvectors that I calculated v1,v2,v3 are not correct? Or that they are not actual eigenvectors? What should I do then?