29. Show that if A1 and A2 are eigenvalues of any matrix A, and if A1 # d2, then the corresponding eigenvectors x(1) and x(2) are 0; multiply = 0. linearly independent. Hint: Start from c¡x(1) + c2x(2) by A to obtain c¡A1x(1) +c2^2x(2) = 0. Then show that c = c2 =
29. Show that if A1 and A2 are eigenvalues of any matrix A, and if A1 # d2, then the corresponding eigenvectors x(1) and x(2) are 0; multiply = 0. linearly independent. Hint: Start from c¡x(1) + c2x(2) by A to obtain c¡A1x(1) +c2^2x(2) = 0. Then show that c = c2 =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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