This problem was asked and I did not know how to solve it..
Prove that if and are real and distinct eigenvalues for some matrix A, with corresponding eigenvectors and , then and are linearly independent vectors.
Thanks for the help..
This problem was asked and I did not know how to solve it..
Prove that if and are real and distinct eigenvalues for some matrix A, with corresponding eigenvectors and , then and are linearly independent vectors.
Thanks for the help..
Assume that and are linearly dependent. Then,
--- Contradiction because the problem states that and are distinct.