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
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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
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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