Determine which of the sets of vectors is linearly independent. A: The set (p1, p2, p3) where p1(x) = 1, p2(t) = t^2, p3(t) = 1 + 5t B. The set (p1, p2, p3) where p1(t) = t, p2(t) = t^2, p3(t) = 2t + 5t^2 C. The set (p1, p2, p3) where p1(t) = 1, p2(t) = t^2, p3(t) = 1 + 5t + t^2 A) B only B) all of them C) A only D) A only C
Show transcribed image textDetermine which of the sets of vectors is linearly independent. A: The set (p1, p2, p3) where p1(x) = 1, p2(t) = t^2, p3(t) = 1 + 5t B. The set (p1, p2, p3) where p1(t) = t, p2(t) = t^2, p3(t) = 2t + 5t^2 C. The set (p1, p2, p3) where p1(t) = 1, p2(t) = t^2, p3(t) = 1 + 5t + t^2 A) B only B) all of them C) A only D) A only C