The matrix below is diagonalizable. Provide 4 different pairs of diagonal matrices D and the corresponding matrix P such that A = PDP-¹. -11 15 A = 1) One diagonalization would be: P = 2) A second diagonalization would be: P = 14 3) A third diagonalization would be: P= 4) A fourth diagonalization would be: P = with corresponding D = with corresponding D = with corresponding D = with corresponding D =

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The matrix below is diagonalizable. Provide 4 different pairs of diagonal matrices D and the corresponding matrix P such that A = PDP-¹.
-[-
A =
P=
1) One diagonalization would be:
P =
-11
15
2) A second diagonalization would be:
-10
14
P =
3) A third diagonalization would be:
P =
4) A fourth diagonalization would be:
with corresponding D =
with corresponding D =
with corresponding D =
with corresponding D =
11
Transcribed Image Text:The matrix below is diagonalizable. Provide 4 different pairs of diagonal matrices D and the corresponding matrix P such that A = PDP-¹. -[- A = P= 1) One diagonalization would be: P = -11 15 2) A second diagonalization would be: -10 14 P = 3) A third diagonalization would be: P = 4) A fourth diagonalization would be: with corresponding D = with corresponding D = with corresponding D = with corresponding D = 11
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