Let A be a 3×3 symmetric matrix. Assume that A has three eigenvalues: A1 = -1, A2 = 2, and A3 = 5. The vectors vị and v2 given below, are eigenvectors of A corresponding, respectively, to A1 and A2: Vi = -1 V2 = Find a non-zero vector v3 which is an eigenvector of A corresponding to d3. Enter the vector v3 in the form [c1, 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 3×3 symmetric matrix. Assume that A has three eigenvalues: A1 = -1, A2 = 2, and A3 = 5. The vectors vị and v2 given below, are
eigenvectors of A corresponding, respectively, to A1 and A2:
Vi =
-1
V2 =
Find a non-zero vector v3 which is an eigenvector of A corresponding to A3.
Enter the vector v3 in the form [c1, c2 , C3]:
Transcribed Image Text:Let A be a 3×3 symmetric matrix. Assume that A has three eigenvalues: A1 = -1, A2 = 2, and A3 = 5. The vectors vị and v2 given below, are eigenvectors of A corresponding, respectively, to A1 and A2: Vi = -1 V2 = Find a non-zero vector v3 which is an eigenvector of A corresponding to A3. Enter the vector v3 in the form [c1, c2 , C3]:
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