Problem 8. (15 points) Find eigenvalues and eigenvectors of the follwing matrix 3 -2 0 A= -1 3-2 0 -1 3 Problem 8. (15 points) Find eigenvalues and eigenvectors of the follwing matrix 3 -2 0 A= -1 3-2 0 -1 3
3. Find all eigenvalues and eigenvectors of the matrix -2 0 -1 0 2 0 2 1 -2
2 3. Find all eigenvalues and eigenvectors of the matrix -2 0 -1 0 2 0 1 -2
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...
3. Find all eigenvalues and eigenvectors of the matrix -2 0 2 -1 0 2 0-2 1
3. Find all eigenvalues and eigenvectors of the matrix -20 2 -1 0 2 0-2 1
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
Q2. Consider the matrix A 6 3 0 -1 0-2 0 5 (a) Find all eigenvalues of the matrix A. (b) Find all eigenvectors of the matrix A. (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R3? (Justify your answer
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 eigenvalues and corresponding eigenvectors for the matrix [1 -1 1] To 3 2 if the characteristic equation of the matrix is 2-107. +292 + 20 = 0.