22. Comber the matrix A-5 (a) Find all eigenvalues of the matrix A. (7 pts) (b)...
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
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 them clear with details please thank you 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 A is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A?Justify your answer) (5 pts) 0 Q2. Consider the matrix A = 6 2 -5 0 -6...
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:...
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)
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)
3. Find all the eigenvalues and corresponding eigenspaces for the matrix B = 4. Show that the matrix B = 0 1 is not diagonalizable. 0 4] Lo 5. Let 2, and 1, be two distinct eigenvalues of a matrix A (2, # 12). Assume V1, V2 are eigenvectors of A corresponding to 11 and 22 respectively. Prove that V1, V2 are linearly independent.
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
Find the eigenvalues and eigenvectors of the matrix 6 5 B- [ -5-2