-a+b+c b The linear transformation L: R4 → R³ is given as L (0)-[] b с 2a-b a. Determine the matrix S of the linear transformation L? b. Look for the eigenvalues of L and its multiplicities. c. For each eigenvalues from (b), look for the corresponding set of eigenvectors. d. Prove that the matrix of L is diagonalizable using answers from (b) and (c) e. Look for a diagonal matrix M and a nonsingular matrix № such that M = N¯¹SN. where a 840 ER4
-a+b+c b The linear transformation L: R4 → R³ is given as L (0)-[] b с 2a-b a. Determine the matrix S of the linear transformation L? b. Look for the eigenvalues of L and its multiplicities. c. For each eigenvalues from (b), look for the corresponding set of eigenvectors. d. Prove that the matrix of L is diagonalizable using answers from (b) and (c) e. Look for a diagonal matrix M and a nonsingular matrix № such that M = N¯¹SN. where a 840 ER4
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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Question
you can answer a,b,c. i will post again so that you answer the next other questions please?
![a
-a+b+c
b
The linear transformation L: R4 → R³ is given as
·(1)-[2]·---- -
L
b
[2]
where
ER4
2a b
a. Determine the matrix S of the linear transformation L?
b. Look for the eigenvalues of L and its multiplicities.
c. For each eigenvalues from (b), look for the corresponding set of eigenvectors.
d. Prove that the matrix of L is diagonalizable using answers from (b) and (c)
e. Look for a diagonal matrix M and a nonsingular matrix № such that M = N-¹SN.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb54d3ce6-dea3-4cd1-846c-4d49506f6139%2Fcf6654d2-a95d-4b2d-8689-0ee7e1e886fd%2Fcb1nkva_processed.png&w=3840&q=75)
Transcribed Image Text:a
-a+b+c
b
The linear transformation L: R4 → R³ is given as
·(1)-[2]·---- -
L
b
[2]
where
ER4
2a b
a. Determine the matrix S of the linear transformation L?
b. Look for the eigenvalues of L and its multiplicities.
c. For each eigenvalues from (b), look for the corresponding set of eigenvectors.
d. Prove that the matrix of L is diagonalizable using answers from (b) and (c)
e. Look for a diagonal matrix M and a nonsingular matrix № such that M = N-¹SN.
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