given A, Find a matrix P such that P-1AP = D, a diagonal matrix

Algebra and Trigonometry (6th Edition)
6th Edition
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,...
icon
Related questions
Question

given A, Find a matrix P such that P-1AP = D, a diagonal matrix

ja
A
а
Transcribed Image Text:ja A а
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

For this question I am supposed to find P not D. I have attached what I found, but I asked so that I could see the steps an expert would use and if my interpretation was correct/ my answer is correct. I know it is a lot of scratch work in my image, so to highlight my answer to the matrix P is 

1 -1
1 1

Did I take the right steps and find the right answer?

ligen valus guew: atb, ab
A =
Lba
find P
ab
D= latb
a-b
ouch that p-A P=Dmx
Tab7
atbio
ba
Ø a-b
2.
(A-AI)x =Ø ů HFL
For DE a-b
FIND
1-1
L2 2
9-9-7
-ba-b
aba-b-b
1ba
a-a tb b
a-atb
20 00 e99
Vector 2
%3D
010
%3D
For 7=atb7
abatb -b
ba,
a-a-b tb
tb a-a-b
199-
/-
Transcribed Image Text:ligen valus guew: atb, ab A = Lba find P ab D= latb a-b ouch that p-A P=Dmx Tab7 atbio ba Ø a-b 2. (A-AI)x =Ø ů HFL For DE a-b FIND 1-1 L2 2 9-9-7 -ba-b aba-b-b 1ba a-a tb b a-atb 20 00 e99 Vector 2 %3D 010 %3D For 7=atb7 abatb -b ba, a-a-b tb tb a-a-b 199- /-
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education