Let A be a 3x3 symmetric matrix. Assume that A has three eigenvalues: A₁ = -1, A₂ = 2, and A3 = 5. The vectors V₁ and V₂ given below, are eigenvectors of A corresponding, respectively, to X₁ and X₂: V1 = Enter the vector V3 in the form [C₁, C2, C3]: 0 2 V2 = Find a non-zero vector V3 which is an eigenvector of A corresponding to X3. -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A be a 3x3 symmetric matrix. Assume that A has three eigenvalues: A₁ = −1, A₂ = 2, and A3 = 5. The vectors V₁ and V₂ given below,
are eigenvectors of A corresponding, respectively, to X₁ and ₂:
0
----D
V2 =
-1
Enter the vector V3 in the form [C₁, C₂, C3]:
V1
=
Find a non-zero vector V3 which is an eigenvector of A corresponding to X3.
1
2
-2
Transcribed Image Text:= Let A be a 3x3 symmetric matrix. Assume that A has three eigenvalues: A₁ = −1, A₂ = 2, and A3 = 5. The vectors V₁ and V₂ given below, are eigenvectors of A corresponding, respectively, to X₁ and ₂: 0 ----D V2 = -1 Enter the vector V3 in the form [C₁, C₂, C3]: V1 = Find a non-zero vector V3 which is an eigenvector of A corresponding to X3. 1 2 -2
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