Consider the following matrices: A [7 0 = [1¹] B = ₁ 3 15 -8 0 0 and C = [¹4] a- determine whether the matrices A and B are diagonalizable or not (justify your answer) b- by writing its characteristic equation show that -1 and -2 are the eigenvalues of the matrix C, then find the associated eigenvectors.
Consider the following matrices: A [7 0 = [1¹] B = ₁ 3 15 -8 0 0 and C = [¹4] a- determine whether the matrices A and B are diagonalizable or not (justify your answer) b- by writing its characteristic equation show that -1 and -2 are the eigenvalues of the matrix C, then find the associated eigenvectors.
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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![Consider the following matrices: A
[7
0
= [1¹] B=₁ 3
15 -8
0
0 and C = [¹4]
a- determine whether the matrices A and B are diagonalizable or not (justify your answer)
b- by writing its characteristic equation show that -1 and -2 are the eigenvalues of the
matrix C, then find the associated eigenvectors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75953f78-381b-4bc1-a1fb-449cf1f9459a%2Fe1b85a74-de96-465f-bad1-aff4da1931eb%2Fw4znsn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following matrices: A
[7
0
= [1¹] B=₁ 3
15 -8
0
0 and C = [¹4]
a- determine whether the matrices A and B are diagonalizable or not (justify your answer)
b- by writing its characteristic equation show that -1 and -2 are the eigenvalues of the
matrix C, then find the associated eigenvectors.
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