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2. Determine whether there exists a 3 x 3 symmetric matrix whose eigenvalues are A1 = -1, 2= 3, A3 = 7 and for which the corresponding eigenvectors are as stated. If there is such a matrix, find it, and if there is none, explain why not. X2 = X, =

2. Determine whether there exists a 3 x 3 symmetric matrix whose eigenvalues are A1 = -1, 2= 3, A3 = 7 and for which the corresponding eigenvectors are as stated. If there is such a matrix, find it, and if there is none, explain why not. X2 = X, =

Advanced Engineering Mathematics
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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2. Determine whether there exists a 3 x 3 symmetric matrix whose eigenvalues are d1 = – 1, A2= 3, \3 = 7 and for which the corresponding eigenvectors are as stated. If there is such a matrix, find it, and if there is none, explain why not. X, = X, =0 X3 = hp
Transcribed Image Text:2. Determine whether there exists a 3 x 3 symmetric matrix whose eigenvalues are d1 = – 1, A2= 3, \3 = 7 and for which the corresponding eigenvectors are as stated. If there is such a matrix, find it, and if there is none, explain why not. X, = X, =0 X3 = hp
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