Given the following matrix: (a) Show that matrix A is diagonalizable. (b) Find a matrix P...
Determine whether the matrix is diagonalizable. If so, find the matrix P that diagonalizes A, and the diagonal matrix D so that... 5. Determine whether the matrix 0 1 3is diagonalizable. If so, find the matrix P that diagonalizes A, and the diagonal matrix D so that P-1APD.
D.30. For the matrix a. Find the eigenvalue(s) and the eigenvector(s). b. Is matrix A diagonalizable? If so, what is the matrix P that diagonalizes A? c. If matrix A is diagonalizable, find the diagonal matrix D that is associated with A by using D-P AP d. If matrix A is diagonalizable, find the diagonal matrix D that is associated with A directly from the eigenvalues found in part a.
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
linear algebra My Determine whether the given matrix is diagonalizable; if so, find a matrix P and a diagonal matrix D such that A - PDP1. (If the matrix is not dlagonalizable, enter DNE in any cell.) T o 1 0 A-1 20 L-1 1 1 [PD] Additional Materials Tutorial Show My Work (optiena) Submit Answer Save Progress Practice Another Version 25
Determine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix P and diagonal matrix D such that P-TAP =D 300 030 0 3 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 2 0 0 0 3 0 O A 0 1 0 The matrix is diagonalizable, (PD) = 0 0 1 1 0 3 (Use a comma to separate matrices as needed.) O...
4. Find a matrix P that diagonalizes the given matrix A and compute P-1AP. A= ܐ ܚ 0 0 0 ܠܛܙ
6. For each of the following matrices A solve the eigenvalue problem. If A is diagonalizable, find a matrix P that diagonalizes A by a similarity transformation D-PlAP and the respective diagonal matrix D. If A is not diagonalizable, briefly explain why -1 4 2 (d) A-|-| 3 1 -1 2 2 -1 0 1 6 3 (a) A- (b)As|0 1 0| (c) A-1-3 0 11 -4 0 3
9) Find a matrix P that diagonalizes A, and find P- AP 9) Find a matrix P that diagonalizes A, and find P- AP
(2) Consider the matrix (a) Find a value of x such that A is diagonalizable. (b) Find a value of x such that A is not diagonalizable.
DETAILS LARLINALG8 7.2.050. Show that the matrix is not diagonalizable. [ ] : 0 The matrix is not diagonalizable because it only has one linearly independent eigenvector. The matrix is not diagonalizable because it only has one distinct eigenvalue. The matrix is not diagonalizable because [*] is not an eigenvector. The matrix is not diagonalizable because k is not an eigenvalue.