Question

Consider the operator L(x, y) = (x+ 2y,2x+y). Compute the eigenvalues of L. What are the...

Consider the operator L(x, y) = (x+ 2y,2x+y). Compute the eigenvalues of L. What are the corresponding eigenvectors?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
L(x, y) = ((4x − 2y)/5, (−2x + y)/5) 1.) What is the basis of Ker(L)...
L(x, y) = ((4x − 2y)/5, (−2x + y)/5) 1.) What is the basis of Ker(L) and Range(L)? Is it subjective and/or injective? 2.) Is the linear mapping L a rotation, a reflection, or a projection? Why?
(1) Consider the linear operator T : R2 ! R2 defined by T x y =...
(1) Consider the linear operator T : R2 ! R2 defined by T x y = 117x + 80y ??168x ?? 115y : Compute the eigenvalues of this operator, and an eigenvector for each eigen-
dy/dt = x- (1/2)y dy/dt =2x +3y a)matrix form b)find eigenvalues/eigenvectors c)genreal solution
dy/dt = x- (1/2)y dy/dt =2x +3y a)matrix form b)find eigenvalues/eigenvectors c)genreal solution
Consider the system [ x' = -2y & y' = 2x] . Use dy/dx to find...
Consider the system [ x' = -2y & y' = 2x] . Use dy/dx to find the curves y = y(x). Draw solution curves in the xy phase plane. What type of equilibrium point is the origin?
Complex Eigenstuff Compute the eigenvalues and eigenvectors for the given matrix A. List the eigenvalues so...
Complex Eigenstuff Compute the eigenvalues and eigenvectors for the given matrix A. List the eigenvalues so the first one has negative imaginary part. Write the corresponding eigenvectors in the form [u+iv1]. If there is only one eigenvector, leave the entries for the second eigenvalue and eigenvector blank. A=[4 -3 3 4]
consider the 2 variable function f(x,y) = 4 - x^2 - y^2 - 2x - 2y...
consider the 2 variable function f(x,y) = 4 - x^2 - y^2 - 2x - 2y + xy a.) find the x,y location of all critical points of f(x,y) b.) classify each of the critical points found in part a.)
Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of...
Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of the function. (b) Find the directional derivative of the function at the point P(π/2,π/6) in the direction of the vector v = <sqrt(3), −1>   (c) Compute the unit vector in the direction of the steepest ascent at A (π/2,π/2)
Find the general solution to the system x" = 5x + 2y, y" = 2x +...
Find the general solution to the system x" = 5x + 2y, y" = 2x + 8y. Note that the system as stated above has second derivatives. Once you write it as a first-order system, the characteristic equation will be biquadratic (quadratic in λ2), so you can solve for λ2 and then take square roots to get the eigenvalues.
Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 Solve...
Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1 Solve the IVP using the Eigenvalue method. x'=2x-3y+1 y'=x-2y+1 x(0)=0 y(0)=1
g(x,y)= 2x^2+3y^2 subject to: 2x+2y<_1
g(x,y)= 2x^2+3y^2 subject to: 2x+2y<_1