2. Suppose that you are told the matrix b c- 26] c 2b - a -a- 2b+2c b a+ 26 a A 36 has an eigenvalue of 6 with corresponding eigenvector v = [3 2 1]. (i), Determine the values of a, b, and c. (ii) corresponding to the eigenyalue The eigenvalues of A are A = 2 = 6, and As = 3. Find an eigenvector of w of A %3D
2. Suppose that you are told the matrix b c- 26] c 2b - a -a- 2b+2c b a+ 26 a A 36 has an eigenvalue of 6 with corresponding eigenvector v = [3 2 1]. (i), Determine the values of a, b, and c. (ii) corresponding to the eigenyalue The eigenvalues of A are A = 2 = 6, and As = 3. Find an eigenvector of w of A %3D
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
Solve both parts plz solve both
![2. Suppose that you are told the matrix
b c- 26]
a
A
36
c 26 - a
-a - 26 + 2c b a+26
has an eigenvalue of 6 with corresponding eigenvector v =
[3 2 1]".
(i).
Determine the values of a, b, and c.
= 3. Find an eigenvector of w of A
(ii)
corresponding to the eigenvalue A3 = 3.
The eigenvalues of A are A1
A2 =
6, and As
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65b1e2d8-714f-4bbb-980a-647457c3e45f%2Fce04b8c9-6031-4fb9-bec0-28c71f5d6c01%2F7o9t2np_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Suppose that you are told the matrix
b c- 26]
a
A
36
c 26 - a
-a - 26 + 2c b a+26
has an eigenvalue of 6 with corresponding eigenvector v =
[3 2 1]".
(i).
Determine the values of a, b, and c.
= 3. Find an eigenvector of w of A
(ii)
corresponding to the eigenvalue A3 = 3.
The eigenvalues of A are A1
A2 =
6, and As
%3D
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