In Problems 3133 A represents a 2 x 2 matrix. (a) Show that if A has the
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In Problems 31–33 A represents a 2 x 2 matrix.
(a) Show that if A has the repeated eigenvalue λ with two linearly independent associated eigenvectors, then every nonzero vector v is an eigenvector of A.
(b) Conclude that A must be given by Eq. (22). (In the equation Av = λv take v = [1 0]T and v = [0 1]T.)
Transcribed Image Text:
07 Α λ A=a[& #]=[@ 4] λ (22)
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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