Question 2 (1 point) 8 -18 Find the eigenvalues and eigenvectors of the matrix A =...
8. Find a symmetric 3 x 3 matrix with eigenvalues 11, 12 , and , 13 and corresponding orthogonal eigenvectors vi , V2 , and V3 1 11 = 1, 12 = 2, 13 = 3, vi -=[:)--[:)--[;)] 1
(1 point) Find the eigenvalues and eigenvectors of the matrix A = | -1 (-13 5 -3 11 = , vi = and t2 = ,02 =
Find the eigenvalues and associated eigenvectors of the matrix Q2: Find the eigenvalues and associated eigenvectors of the matrix 7 0 - 3 A = - 9 2 3 18 0 - 8
(1 point) a. Find the eigenvalues and eigenvectors of the matrix of the matrik (_&_7] 1 2 1-6 3 -7] 11 = -4 ,u = , and 12 = -1 , 02 = → b. Solve the system of differential equations x X1(0) = [ 2 | -6 31+ -7 the initial conditions | x2(0) xi(t) = x2(t) =
0 -2 - The matrix A -11 2 2 -1 has eigenvalues 5 X = 3, A2 = 2, 13 = 1 Find a basis B = {V1, V2, v3} for R3 consisting of eigenvectors of A. Give the corresponding eigenvalue for each eigenvector vi.
Question 19 (1-1 Find the eigenvalues and corresponding eigenvectors for the matrix 0 6 2 0-19 Selected Answer 21 = 8, x= (0,1,1) 12 = 7, x2 =(-1, 12,-6) d. hg = 1, 13 = (1,0,0)
Section 6.1 Eigenvalues and Eigenvectors: Problem 18 Previous Problem Problem List Next Problem (1 point) Find the eigenvalues and eigenvectors of the matrix A = || ao | 10 and
(1 point) Suppose that the matrix A has the following eigenvalues and eigenvectors: 4 = 2 with vi = and |_ G 12 = -2 with v2 = Write the solution to the linear system r' = Ar in the following forms. A. In eigenvalue/eigenvector form: x(t) (50) = C1 + C2 e e B. In fundamental matrix form: (MCO) = I: C. As two equations: (write "c1" and "c2" for C1 and c2) x(t) = yt) =
Find the eigenvalues and eigenvectors of the given matrix. 3 -1 A= 8 -3 Enter the eigenvalues in ascending order. If the eigenvalues are equal, both answers should be the same. 1 11 = -1 X1 = where x1 = (..) ( ) 1 12 = 1 X2 = where x2 =
Suppose that the matrix A A has the following eigenvalues and eigenvectors: (1 point) Suppose that the matrix A has the following eigenvalues and eigenvectors: 2 = 2i with v1 = 2 - 5i and - 12 = -2i with v2 = (2+1) 2 + 5i Write the general real solution for the linear system r' = Ar, in the following forms: A. In eigenvalue/eigenvector form: 0 4 0 t MODE = C1 sin(2t) cos(2) 5 2 4 0 0...