Hey all,

This problem was asked and I did not know how to solve it..

Prove that if $\displaystyle \lambda_1$ and $\displaystyle \lambda_2$ are real and distinct eigenvalues for some matrix A, with corresponding eigenvectors $\displaystyle V_1$ and $\displaystyle V_2$, then $\displaystyle V_1$ and $\displaystyle V_2$ are linearly independent vectors.

Thanks for the help..