# eigen

1. ### Finding S and S^-1 in Eigen vectors / values

Hey Guys, I am a bit stuck on how to get S and S^-1. I understand how to get landa but I don't know how to get the other two matrices as shown.
2. ### Eigen Vector and Eigen Value

Eigen Vector and Eigen Value [Solved] Hey Guys, Can I get a guide line on what to do for these kind of questions? I don't know how to get the matrices that they ask for. On the other hand I do know how to find eigen values and eigen vectors. Thanks in advance. Edit: I found out what was...
3. ### Eigen vector of Pauli Matrix (z-component of pauli matrix)

I have had no problem while finding the eigen vectors for the x and y components of pauli matrix. However, while solving for the z- component, I got stuck. The eigen values are 1 and -1. While solving for the eigen vector corresponding to the eigen value 1 using (\sigma _z-\lambda I)X=0, I got...
4. ### eigen vector

here the eigen vector is (0,0,0) isnt it? though its not given in options because we have all eigen value equal to (0,0,0) so it leadind to eigen vectors zero
5. ### Help deriving an Eigen Vector from Eigen Value

Hello, I have been stuck for some while on what is probably a very simple problem for most of you. I have a simple 2 by 2 matrix for which I have found the Eigen Values, and the vector corresponding to the 1st Eigen Value, but I can't work out the second vector from it's Eigen Value. I think...
6. ### eigen value of 0?

I get lambda^2 -5lambda =0 for the determinant equation giving lambda = 0 and 5 ?
7. ### eigen value1

a following matrix 3x3 has eigen values -6,1,6 . will the matrix converge to the eigen value how to proceed in such type of question please help
8. ### help finding the basis of an eigen space

How did they get that x_2 = t? I get that x_1 = -S and x_3 = s but why does x_2=t? Shouldn't x_2 just = zero?
9. ### an Inquiry about principal angel and euler axis of eigen value nd eigen vector

I have the eigenvalues and eigenvectors of a transformation 3*3 matrix and on of the eigenvalues is zero I need to get the Euler axis and principal rotation angel, phi, may anyone help me in finding them and also what would be the corresponding Euler angles and elementary rotation matrices...
10. ### Eigen space and dimension

Linear transformation f:C∞(R) -> C∞(R) a) I have to set up the eigenvalue-problem and solve it : my solution : keλt b) Now I have to find the dimension of the single eigen spaces and plot the graph for 3 different vectors from each eigen space when λ is -5 and 0. I'm having some...
11. ### Eigen Decomposition help

I got everything figured out that I needed.
12. ### Laplace's Equation in 3-Dimension (Orthogonality and Eigen function)

Any help will be appreciated! I am solving Laplace's Equation in 3-Dimensions using superposition. The problem is that I don't know how to use orthogonality to solve for the constant when you have two Eigen functions. \frac{\partial ^{2}u}{\partial x^{2}}+\frac{\partial ^{2}u}{\partial...
13. ### General solution for a matrix with 1 real and two complex eigen values.

{SOLVED}General solution for a matrix with 1 real and two complex eigen values. Hey guys, I was hoping you could help with a problem I'm having. I found from my 3x3 matrix 3 eigenvalues where one is real and the other two are complex. I don't know how to express the general solution for this...
14. ### Eigen value of skew symmetric matrix

We were trying to find the eigen value of a skew symmetric matrix: so we proceeded as : AX=kX X!=0 for some k as eigen value and A=-A so A+A = 0 operating by X (matrix) AX+AX = 0 AX+kX=0 operating X XAX+XkX=0 (AX)X+XkX = 0 (kX)X+XkX=0 here we ran into trouble as to the definition...
15. ### how many eigen values of the real antisymmetric matrix are there

If A is n-by-n real anti symmetric matrix and sum of all but one eigen values is of modulus 1. then the remaining eigen value can have how many values? a)1 b)2 c)infinite . i am in trouble with the type of language of this problem. help please. regards.(Bow)(Clapping)
16. ### solving for value beta in eigen value formula

i want to find the value of beta(B) from the below exp where L,H are known. B*tan(B*L)=H i have this formula for finding the eigen value in greens function for heat conduction. guys need your help
17. ### eigen value geometric multiplicity problem

find the jordan form of A=\left(\begin{array}{cccc} 4 & 1 & 1 & 1\\ -1 & 2 & -1 & -1\\ 6 & 1 & -1 & 1\\ -6 & -1 & 4 & 2\end{array}\right) ? my latex around the matrices is not working and it meesed up the whole thing so i removed it |tI-A|=\left|\begin{array}{cccc} t-4 & -1 & -1 & -1\\ 1...
18. ### Finding eigen vectors of N dimensional linear transformation

ADGRPID:|SERVTYPE: Definition of notation: First let x for this problem denote the elementart tensor product. Then let (AxB) acting on a vector v be defined by A<B,V> where this is the standard inner product. Problem statement With those defintions consider e and v members of Rn the vector...
19. ### Eigen values & eigen vectors of a 3 by 3..

Hello, Suppose one has the matrix A: [2 0 -1; 0 3 0; -1 0 2] i found eigenvalues: 1 & 3 using the ABC formula. For 1 im getting the eigenvectors: q1=1/√(2) & q3=1/√(2) (q2 ending up equal to 0), for 3 im getting: q1=-1/√(2), q2=0, q3=-1/√(2). Matlab gives me: 3 eigen values: 1, 3 & 3...
20. ### Eigen Vector

EDIT: just writing out my working. 2 mins :). http://www.wolframalpha.com/input/?i=eigenvalues+{{1%2C+1%2C+1}%2C{2%2C2%2C+2}%2C+{3%2C+3%2C+3}} How is {1, 2, 3} and answer(Corresponding to EV = 6)? I get {2, 1, 0) and just can't seem to work out how they get (1, 2, 3)! Eigen Value 6...