Extend the proof of the Distinct Eigenvalue Theorem for a 3 × 3 matrix A as fol-lows: Show that if A has 3 distinct eigenvalues λ1 λ2. λ1, then the corresponding eigenvectors v1, v2, v3 are linearly independent. Use the fact that an eigenvector vi, can-not be zero, and follow the steps shown in the proof for two distinct eigenvalues.