Task 2: Python Implementation

Write a Python function using NumPy to check whether a given set of vectors is linearly independent or not. Use matrix rank for your logic.

Instructions:

1. Define three vectors:

v1 = np.array([1, 2, 3])  

v2 = np.array([2, 4, 6])  

v3 = np.array([1, 0, 1])  

1. Stack the vectors into a matrix.

2. Use np.linalg.matrix_rank() to check independence.

Return whether the set is independent or dependent.