Diagonalize the following matrix. [4] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For P = (Type an integer or simplified fraction for each matrix element.) 1 0 O B. For P = D= ос. (Type an integer or simplified fraction for each matrix element.) For P= -[:] (Type an integer or simplified fraction for each matrix element.) D. The matrix cannot be diagonalized.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 42E
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Diagonalize the following matrix.
4
H
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
40
-[::]
01
(Type an integer or simplified fraction for each matrix element.)
B.
O C.
For P =
D=
1 0
0 -1
(Type an integer or simplified fraction for each matrix element.)
For P = D=
40
04
(Type an integer or simplified fraction for each matrix element.)
For P =
D=
O D. The matrix cannot be diagonalized.
Transcribed Image Text:Diagonalize the following matrix. 4 H Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 40 -[::] 01 (Type an integer or simplified fraction for each matrix element.) B. O C. For P = D= 1 0 0 -1 (Type an integer or simplified fraction for each matrix element.) For P = D= 40 04 (Type an integer or simplified fraction for each matrix element.) For P = D= O D. The matrix cannot be diagonalized.
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