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C:/Users/sony/Downloads/MA265 FA 4 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...
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...
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)
solve them clear with details please thank you Q1. Let A = be a 2 x...
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...
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...
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:...
Consider the matrix 3 -2 1 A 1 2 -1 1-2 3 a) Find the characteristic...
Consider the matrix 3 -2 1 A 1 2 -1 1-2 3 a) Find the characteristic polynomial of A and show that A has an eigenvalue at zero. Find the other two eigenvalues of A b) Find eigenvectors of A corresponding to all eigenvalues c) Can you diagonalize this matrix?
(1 point) Find the characteristic polynomial of the matrix 5 -5 A = 0 [ 5...
(1 point) Find the characteristic polynomial of the matrix 5 -5 A = 0 [ 5 -5 -2 5 0] 4. 0] p(x) = (1 point) Find the eigenvalues of the matrix [ 23 C = -9 1-9 -18 14 9 72 7 -36 : -31] The eigenvalues are (Enter your answers as a comma separated list. The list you enter should have repeated items if there are eigenvalues with multiplicity greater than one.) (1 point) Given that vi =...
3. (a) For the following matrix A, compute the characteristic polynomial C(A) = det(A ?): A-1...
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...
2. (-16 Points) DETAILS CHENEYLINALG2 6.1.017. 0/2 Submissions Used 9 Let A - Find the characteristic...
2. (-16 Points) DETAILS CHENEYLINALG2 6.1.017. 0/2 Submissions Used 9 Let A - Find the characteristic polynomial. 11 Det(A - AI) - Find the eigenvalues and eigenvectors for each eigenvalue. (Order your answers from smallest to largest eigenvalue.) 21 has eigenspace span 12 has eigenspace span Find a matrix P such that p-'AP is a diagonal matrix. P
Problem 5: Let A be the following matrix: 2 -3 1] A= 1 -2 11 1...
Problem 5: Let A be the following matrix: 2 -3 1] A= 1 -2 11 1 -3 2 (a) Compute the characteristic polynomial of A. (b) Find the eigenvalues of A. (c) For each eigenvalue of A, find a corresponding eigenvector.
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...
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)
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...
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...
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:...
Consider the matrix 3 -2 1 A 1 2 -1 1-2 3 a) Find the characteristic polynomial of A and show that A has an eigenvalue at zero. Find the other two eigenvalues of A b) Find eigenvectors of A corresponding to all eigenvalues c) Can you diagonalize this matrix?
(1 point) Find the characteristic polynomial of the matrix 5 -5 A = 0 [ 5 -5 -2 5 0] 4. 0] p(x) = (1 point) Find the eigenvalues of the matrix [ 23 C = -9 1-9 -18 14 9 72 7 -36 : -31] The eigenvalues are (Enter your answers as a comma separated list. The list you enter should have repeated items if there are eigenvalues with multiplicity greater than one.) (1 point) Given that vi =...
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...
2. (-16 Points) DETAILS CHENEYLINALG2 6.1.017. 0/2 Submissions Used 9 Let A - Find the characteristic polynomial. 11 Det(A - AI) - Find the eigenvalues and eigenvectors for each eigenvalue. (Order your answers from smallest to largest eigenvalue.) 21 has eigenspace span 12 has eigenspace span Find a matrix P such that p-'AP is a diagonal matrix. P
Problem 5: Let A be the following matrix: 2 -3 1] A= 1 -2 11 1 -3 2 (a) Compute the characteristic polynomial of A. (b) Find the eigenvalues of A. (c) For each eigenvalue of A, find a corresponding eigenvector.
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