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 1 AP = D. 3 -2 2 - - 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The matrix is diagonalizable, {P,D} = { }. (Use a comma to separate matrices as needed.) B. The matrix is not diagonalizable.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 89E
Question
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 1 AP = D.
3 -2
2
-
- 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The matrix is diagonalizable, {P,D} = { }.
(Use a comma to separate matrices as needed.)
B. The matrix is not diagonalizable.
Transcribed Image Text: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 1 AP = D. 3 -2 2 - - 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The matrix is diagonalizable, {P,D} = { }. (Use a comma to separate matrices as needed.) B. The matrix is not diagonalizable.
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