Suppose S={r,u,d} is a set of linearly independent vectors. If x=3r+5u+3d, determine whether T={r,u,x} is a linearly independent set.  1. Is T linearly independent or dependent? If T is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients.

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Q: Determine

A: We use definition of linearly independent set.