Find a Matrix P that nationalizes A, and check your answer by computing PDP-1 1 0...
I 5.3: Diagonalization Find the diagonal matrix D and invertible matrix P such that A- PDp-1 if possible. If it is not possibl which eigenspace(s) are to blame. e, eosplain A-1 2 1 3 -1 A 1 1 1 5 0 3 A- 0 2 0 し406 5.3: Diagonalization Find the diagonal matrix D and invertible matrix P such that A- PDp-1 if possible. If it is not possibl which eigenspace(s) are to blame. e, eosplain A-1 2 1 3...
A question about linear algebra If possible, find an invertible matrix PP such that A=PDP−1. If it is not possible, enter the identity matrix for P and the matrix A for D. (2 points) Let A- If possible, find an invertible matrix P such that A PDP . If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work...
LA class!! 1. Find a diagonlizing matrix P for the matrix A and write A in the form A = PDP-1 where D is a diagonal matrix. AE 5 -6 3 3 -4 3 0 0 2 Also, use the diagonalization of A to compute A8, A-8, and eA.
1. The matrix A is factored in the form PDP-1. USe the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 54 0 -2] -20 11 5 007 0 0 1 25 4 0 1 2 0 5 0 2 1 42 0 0 5 0 0 0 0 4 - 1 0 - 2 2. Diagonalize, if possible, the matrix A below, given that the eigenvalues are 1 = 2, 1. If not possible,...
If the matrix A - |--2 15 ]] i e., A= PDP " with P degalizable, invertible and D = 16 d. do=d, diagonal, which choice for P? 4. A is not chagonalizable of the folosing is a 2 2 -1 3. P=[4] 4.P=[:] 5.P=[14]
orthogonal If there is an orthogonal matrix P such that A = PDP and B = PEP where both D and E are diagonal, do we have AB=BA? Justify your answer. Input your answer here and give a detailed proof in your supporting document. D oo - Paragraph B 1 U- A > E lu Next Page Page 1 of 10
4. Consider the following matrix [1 0 -27 A=000 L-2 0 4] (a) (3 points) Find the characteristic polynomial of A. (b) (4 points) Find the eigenvalues of A. Give the algebraic multiplicity of each eigenvalue (c) (8 points) Find the eigenvectors corresponding to the eigenvalues found in part (b). (d) (4 points) Give a diagonal matrix D and an invertible matrix P such that A = PDP-1 (e) (6 points) Compute P-and verify that A= PDP- (show your steps).
(1 point) Suppose A = - (-11, ] Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for A6 in terms of P, a power of D, and P-1 in that order. A6 =
20 pts. #16) Assuming A = PDP 'with D a diagonal matrix, and knowing that A has eigenvalues 1 = -2, and 1 = 1, find P and D if A = [1 3 3 1 1-3 -5 -3 3 3 1 An acceptable answer: 16, followed by your answers for P and D. You do NOT need to find P'! There is more than 1 correct answer.
Diagonzalize the matrix A. if possible. That is, find an invertible matrix P and 1 3 3 Diagonalize the matrix A= - 3 - 5 -3 3 3 a diagonal matrix D such that A = PDP-1. 1