Determine which of the sets of vectors is linearly independent. A: The set where p 1(t) = 1, p 2(t) = t 2, p 3(t) = 1 + 5t B: The set where p 1(t) = t, p 2(t) = t 2, p 3(t) = 2t + 5t 2 C: The set where p 1(t) = 1, p 2(t) = t 2, p 3(t) = 1 + 5t + t 2 A and C C only B only A only all of them

(A)A and C

Step-by-step explanation:

In each case, represent each of the as a column vector where  each row corresponds to the constant term, coefficient of t and respectively.

A= The set where

B: The set where

C: The set where

Since the determinants of A and C are not 0, the set of vectors in A and C are linearly independent.



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step-by-step explanation: