Let A be a 3×3 symmetric matrix. Assume that A has two eigenvalues: A1 = 0, and X2 = 2. The vectors vị and v2 given below are linearly independent eigenvectors of A corresponding to X1: 2 Vi = V2 = -2 Find a non-zero vector v3 which is an eigenvector of A corresponding to A2. Enter the vector v3 in the form [c , c2 , c3]:

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 two eigenvalues: 1 = 0, and X2 = 2. The vectors vị and v2 given below are linearly independent
eigenvectors of A corresponding to A1:
V1 =
V2 =
-2
Find a non-zero vector v3 which is an eigenvector of A corresponding tod2.
Enter the vector v3 in the form [c1, c2 , C3]:
Transcribed Image Text:Let A be a 3x3 symmetric matrix. Assume that A has two eigenvalues: 1 = 0, and X2 = 2. The vectors vị and v2 given below are linearly independent eigenvectors of A corresponding to A1: V1 = V2 = -2 Find a non-zero vector v3 which is an eigenvector of A corresponding tod2. Enter the vector v3 in the form [c1, c2 , C3]:
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