-1 2 -8 A 0 1 Answer the following questions: (a) Find the eigenvalues, and bases for the eigenspaces. (b) Is A diagonalizable? If yes, find the matrix P that diagonalize A. Further, find A100,
-1 2 -8 A 0 1 Answer the following questions: (a) Find the eigenvalues, and bases for the eigenspaces. (b) Is A diagonalizable? If yes, find the matrix P that diagonalize A. Further, find A100,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![4. Let
-8
A =
1
1
Answer the following questions:
(a) Find the eigenvalues, and bases for the eigenspaces.
(b) Is A diagonalizable? If yes, find the matrix P that diagonalize A. Further, find A100.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F012ec668-3c14-4177-b818-7af36402805c%2F1b6497bd-6f02-45a2-ab4a-501650298ed9%2Fwwaz84m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let
-8
A =
1
1
Answer the following questions:
(a) Find the eigenvalues, and bases for the eigenspaces.
(b) Is A diagonalizable? If yes, find the matrix P that diagonalize A. Further, find A100.
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