WebFor which value of k does the matrix A=[4−4k−8] have one real eigenvalue of algebraic multiplicity 2? k= Question: For which value of k does the matrix A=[4−4k−8] have one real eigenvalue of algebraic multiplicity 2? k= Web4 For which value of k does the matrix A = have one real eigenvalue of algebraic multiplicity 2? 4 -8 k= If v1 = and V2 = are eigenvectors of a matrix A corresponding to the eigenvalues 11 = -2 and 12 = 3, respectively, then A (v1 + v2) = 8) and A (-3v1) = This problem has been solved!
Eigenvalues of 2 × 2 Matrices - Ximera
WebIgor Konovalov. 10 years ago. To find the eigenvalues you have to find a characteristic polynomial P which you then have to set equal to zero. So in this case P is equal to (λ-5) (λ+1). Set this to zero and solve for λ. So you get λ-5=0 which gives λ=5 and λ+1=0 which gives λ= -1. 1 comment. Web2 = 2−i; that is, the eigenvalues are not real numbers. This is a common occurrence, and we can press on to find the eigenvectors just as we have in the past with real eigenvalues. To find eigenvectors associated with λ 1 = 2+i, we look for x satisfying (A−(2+i)I)x = 0 ⇒ −i −1 1 −i x 1 x 2 = 0 0 ⇒ −ix 1 −x 2 x 1 −ix 2 = 0 ... spokane symphony box office
Answered: Consider the following. (a) Compute the… bartleby
WebMar 11, 2024 · For which value of k does the matrix A have one real eigenvalue of multiplicity 2? (2 answers) Closed 11 months ago. I am trying to find, for which values k, the matrix below has a real eigenvalue with algebraic multiplicity 2: ( − 3 k 2 − 6) My work thus far: ( − 3 − λ) ( − 6 − λ) − 2 K λ 2 + 9 λ + 18 − 2 k − 9 ± ⌈ 9 − 8 k ⌉ 2 WebFinal answer. (1 point) For which value of k does the matrix A = [ −7 −2 k 2] have one real eigenvalue of multiplicity 2? k =. WebConsider the following. (a) Compute the characteristic polynomial of A det (A-1)- (b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) has eigenspace span HEA) (L.H has eigenspace span has eigenspace span has eigenspace span (c) … spokane symphony nutcracker 2022