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Q1. Let A = be a 2 x...
please solve them clear Q1. Let A= be a 2 x 2 matrix. 45 (a) Find...
please solve them clear
Q1. Let A= be a 2 x 2 matrix. 45 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If X is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A?(Justify your answer) (5 pts) Q2. Consider the matrix A = 2 -5 -6 1-50 (a) Find all eigenvalues of the matrix...
solve it clear please ????? 6 0 0 1 Q2. Consider the matrix A = 2...
solve it clear please ?????
6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
0 0 Q2. Consider the matrix A 6 2 -5 0 1 (a) Find all eigenvalues...
0 0 Q2. Consider the matrix A 6 2 -5 0 1 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R*? (Justify your answer) (5 pts)
Q2. Consider the matrix A 6 3 0 -1 0-2 0 5 (a) Find all eigenvalues...
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
C:/Users/sony/Downloads/MA265 FA 4 Q1. Let A = be a 2 x 2 matrix. 45 (a) Find...
C:/Users/sony/Downloads/MA265 FA 4 Q1. Let A = be a 2 x 2 matrix. 45 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If I is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A? (Justify your answer) (5 pts)
Q1. Let A = be a 2 x 2 matrix. 30 (a) Find the characteristic polynomial...
Q1. Let A = be a 2 x 2 matrix. 30 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 7A?(Justify your answer) (5 pts)
22. Comber the matrix A-5 (a) Find all eigenvalues of the matrix A. (7 pts) (b)...
22. Comber the matrix A-5 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (e) Do you think that the set of the eigenwectors of A is as for the sector space Re? (Justify your answer) (5 pts)
Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each eigenvalue for...
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...
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...
3 -1 0 Problem 11 Let A= 16 -5 0 0 16 0 -2 15 -3...
3 -1 0 Problem 11 Let A= 16 -5 0 0 16 0 -2 15 -3 -15 2 8 0 a) [3 pts) Compute the characteristic polynomial of A and find its roots. b) [4 pts) For each eigenvalue of A find a basis for the corresponding eigenspace. c) [3 pts] Determine if A is defective. Justify your answer. d) [6 pts) If A is defective, determine the defective eigenvalue or eigenvalues, and find a Jordan chain (or set of...
please solve them clear
Q1. Let A= be a 2 x 2 matrix. 45 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If X is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A?(Justify your answer) (5 pts) Q2. Consider the matrix A = 2 -5 -6 1-50 (a) Find all eigenvalues of the matrix...
solve it clear please ?????
6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
0 0 Q2. Consider the matrix A 6 2 -5 0 1 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R*? (Justify your answer) (5 pts)
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
C:/Users/sony/Downloads/MA265 FA 4 Q1. Let A = be a 2 x 2 matrix. 45 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If I is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A? (Justify your answer) (5 pts)
Q1. Let A = be a 2 x 2 matrix. 30 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 7A?(Justify your answer) (5 pts)
22. Comber the matrix A-5 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (e) Do you think that the set of the eigenwectors of A is as for the sector space Re? (Justify your answer) (5 pts)
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...
3 -1 0 Problem 11 Let A= 16 -5 0 0 16 0 -2 15 -3 -15 2 8 0 a) [3 pts) Compute the characteristic polynomial of A and find its roots. b) [4 pts) For each eigenvalue of A find a basis for the corresponding eigenspace. c) [3 pts] Determine if A is defective. Justify your answer. d) [6 pts) If A is defective, determine the defective eigenvalue or eigenvalues, and find a Jordan chain (or set of...
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