A community for students.
Here's the question you clicked on:
← 55 members online
 0 viewing
anonymous
 one year ago
For which value of k does the matrix A=[4 k; 2 −2] have one real eigenvalue of algebraic multiplicity 2?
let lambda = x
x^2 2x + (82k) = 0
anonymous
 one year ago
For which value of k does the matrix A=[4 k; 2 −2] have one real eigenvalue of algebraic multiplicity 2? let lambda = x x^2 2x + (82k) = 0

This Question is Closed

perl
 one year ago
Best ResponseYou've already chosen the best response.2The eigenvalues of A are x, where det(Ax*Identity) = 0. $$ \Large{\det \begin{bmatrix} 4x & k \\2& 2x \end{bmatrix}=0 \\ ~\\\iff \\~\\ x^22x2k8=0 } $$

perl
 one year ago
Best ResponseYou've already chosen the best response.2now use the quadratic formula
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.