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-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
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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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.
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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