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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:(a) Find a 3 x 3 symmetric matrix, A, whose eigenvalues are
A₁ = -4, A₂ = 2, A3 = 6 and for which the corresponding
eigenvectors are v₁ = (0, 1, -1), v2 = (1, 0, 0), v3 = (0, 1, 1).
A =
(b) Is there a 3 x 3 symmetric matrix with eigenvalues
A₁ = -4, A₂ = 2, A3 = 6 and for which the corresponding
eigenvectors are v₁ = (0, 1, -1), V₂ = (1, 0, 0), v3 = (1, 1, 1).
Choose one
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