Let
. compute
(a) the characteristic polynomial
(b) the eigenvalues
(c) one of the corresponding eigenvectors.
Let . compute (a) the characteristic polynomial (b) the eigenvalues (c) one of the corresponding eigenvectors....
[12 4. Find the characteristic polynomial, the eigenvalues and corresponding eigenvectors of each of the following matrices. -2 3 (a) (b) 2 3 2 6 -6 2 -1 NN 1
4(b) please
4. Find the characteristic polynomial, the eigenvalues and corresponding eigenvectors of each of the following matrices. 1 -2 3 1 2 (a (b) 2 6 6 2 1 13 3 -3 -5 -3 5. Diagonalize the matrix A = if possible. That is, find an invertible matrix P and 2 1 Inc.
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. -4 4-6 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) A1, ?2, ?3) the corresponding eigenvectors X1 =
4. Compute the eigenvalues and corresponding eigenvectors of the following matrix C 3 20
4. Compute the eigenvalues and corresponding eigenvectors of the following matrix C 3 20
Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each eigenvalue for the matrix 1 A= = 66 -2) a) The characteristic polynomial is p(r) = det(A – r1) = b) List all the eigenvalues of A separated by semicolons. 1;-2 c) For each of the eigenvalues that you have found in (b) (in increasing order) give a basis of eigenvectors. If there is more than one vector in the basis for an eigenvalue, write them...
Please circle the final answers!
Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each 1 -2 0 0 A= -1 3 4 100-2) a) The characteristic polynomial is pr) = det(A - rl) = b) List all the eigenvalues of A separated by semicolons. of eigenvectors. If there is more than one vector in the basis for an eigenvalue, write them side by side in a matrix. If there are fewer than three eigenvalues, enter...
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7 0 3 -2 0 -1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (91, 12, 13) = 1, 2, 4 the corresponding eigenvectors X1 = x X2 = X3 =
1. 4 2 0 A-1 1 1 0 0 3 (a) Find the characteristic polynomial of A. (b) What are A's eigenvalues? (c) Find the corresponding eigenvectors (d) Is A diagonalizable? Why or why not. 84
1. 4 2 0 A-1 1 1 0 0 3 (a) Find the characteristic polynomial of A. (b) What are A's eigenvalues? (c) Find the corresponding eigenvectors (d) Is A diagonalizable? Why or why not. 84
3. (a) For the following matrix A, compute the characteristic polynomial C(A) = det(A ?): A-1 1 (b) Find all eigenvalues of A, using the following additional information: This miatrix has exactly 2 eigenvalues. We denote these ??,A2, where ?1 < ?2. . Each Xi is an integer, and satisfies-2 < ?? 2. (c) Given an eigenvalue ?? of A, we define the corresponding eigenspace to be the nullspace of A-?,I; note that this consists of all eigenvectors corresponding to...
Let A = -2 -2 6 1 -2. -2 co (a) Compute eigenvalues and corresponding eigenvectors of A. (b) Find an invertible matrix P such that P-1AP is diagonal. (c) Find an orthogonal matrix Q (that is QT = Q-1 ) such that QTAQ is diagonal (d) Compute e At