Show that if 1 and 2 are eigenvalues of any matrix A, and if 1 _= 2, then the
Chapter 7, Problem 29(choose chapter or problem)
Show that if 1 and 2 are eigenvalues of any matrix A, and if 1 _= 2, then the corresponding eigenvectors x(1) and x(2) are linearly independent. Hint: Start from c1x(1) + c2x(2) = 0; multiply by A to obtain c11x(1) +c22x(2) = 0. Then show that c1 = c2 = 0.
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