Which of the sets of vectors below are linearly independent? A) The set {p1​,p2​,p3​}, where p1​(t)=1,p2​(t)=t2,p3​(t)=1

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Which Of The Sets Of Vectors Below Are Linearly Independent A The Set P1 P2 P3 Where P1 T 1 P2 T T2 P3 T 1 1 (33.73 KiB) Viewed 32 times

Which of the sets of vectors below are linearly independent? A) The set {p1​,p2​,p3​}, where p1​(t)=1,p2​(t)=t2,p3​(t)=1+2t B) The set {p1​,p2​,p3​}, where p1​(t)=t,p2​(t)=t2,p3​(t)=4t+2t2 C) The set {p1​,p2​,p3​}, where p1​(t)=1,p2​(t)=t2,p3​(t)=1+2t+t2 D) The set {p1​,p2​}, where p1​(t)=sint,p2​(t)=tant in C[0,1]. E) The set {p1​,p2​}, where p1​(t)=sintcost,p2​(t)=cos2t in C[0,1]. F) The set {p1​,p2​}, where p1​(t)=cos2t,p2​(t)=1+cos2t in C[0,1].