Consider the following A9 -24 (a) Verify that A is diagonalizable by computing P AP (b)...
2. [-12 Points) DETAILS LARLINALG8 7.2.005. Consider the following. -4 20 0 1 -3 A = 040 P= 04 0 4 0 2 1 2 2 (a) Verify that A is diagonalizable by computing p-AP. p-1AP = 11 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (91, 12, 13)...
2. (-12 points) DETAILS LARLINALG8 7.2.005. Consider the following. Toi-3 A = 5 - 1 0 0 1 0 -6 4 - 4 P= 04 1 2 0 2 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = It (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues....
Consider the following. 01-3 -5 2 0 1 2 2 6 -2 4 (a) Verify that A is diagonalizable by computing P1AP. (b) Use the result of part (a) and the theorem below to find the eigenvalues of A Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (A1, λ2, A3) Nood Holn2
please solve both 3. [-12 Points] DETAILS LARLINALG8 7.2.007. For the matrix A, find (if possible) a nonsingular matrix P such that p-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 8 -2 A= P= Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP = 1. [0/2 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.2.001. Consider the following. -11 40 A= -27 (a) Verify that A is diagonalizable by computing p-1AP. -1 0 p-1AP = 10 3...
step by step please Consider the following 2 -1 A = 0-2 -2 0 0 0, P- -1 0 1 -3 04 0 1 2 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = 11 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (11, 12, 13) =(
Consider the following. 0.75 0.05 0.10 0.10 0.05 0.75 0.10 0.10 A= 0.10 0.10 0.75 0.05 0.10 0.10 0.05 0.75 P= [1 -1 0 1 1-1 0-1 1 1 1 0 1 -1 0 1 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = JUNI (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices,...
Consider the following. 1 -1 0 1 A= 1 -1 0-1 0.80 -0.10 0.15 0.15 -0.10 0.80 0.15 0.15 0.15 0.15 0.80 -0.10 0.15 0.15 -0.10 0.80 P= 1 1 1 0 1 1 - 1 0 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = JINO (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x...
PLZ SOLVE BOTH WRONG PARTS For the matrix A, find (if possible) a nonsingular matrix P such that p-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) A = 1 -2 P = 4 1 11 Verify that p-1AP is a diagonal matrix with the eigenvalues on the main diagonal. 1 0 p-1AP = 0 3 X Need Help? Read It Watch It Talk to a Tutor [1/2 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.2.009. For the matrix A, find (if possible)...
2. For the following matrices, find a matrix Pthat diagonalizes A and compute p-'AP. If the matrix is not diagonalizable, say so and give a reason why. -14 12 (a) A= -2017 100 (b) A011 011
Two n x n matrices A and B are called similar if there is an invertible matrix P such that B = P-AP. Show that two similar matrices enjoy the following properties. (a) They have the same determinant. (b) They have the same eigenvalues: specifically, show that if v is an eigenvector of A with eigenvalue 1, then P-lv is an eigenvector of B with eigenvalue l. (c) For any polynomial p(x), P(A) = 0 is equivalent to p(B) =...