Final answer:
To determine whether a set of complex vectors is linearly independent or dependent, you need to examine if any vector in the set can be expressed as a linear combination of the other vectors in the set. If no such combination exists, the vectors are linearly independent; otherwise, they are linearly dependent, hence answer is (d) It depends on the specific vectors.
Step-by-step explanation:
To determine whether a set of complex vectors is linearly independent or dependent, you need to examine if any vector in the set can be expressed as a linear combination of the other vectors in the set. If no such combination exists, the vectors are linearly independent; otherwise, they are linearly dependent.
This can be achieved by setting up a system of equations and solving for the coefficients. If the system has a unique solution, the vectors are linearly independent. If the system has infinitely many solutions or no solution, the vectors are linearly dependent.
If the problem provides specific vectors, you can substitute the vectors into the system to determine if they are linearly independent or dependent.