Which of the following sets of functions are linearly dependent and which are linearly independent? (a) {1

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Which of the following sets of functions are linearly dependent and which are linearly independent?

(a) {1 + t, t, 1}

(b) {1 +  t, 1 + t + t2, 1 + t2}

(c) {sin(t), cos(t)}

(d) {et, e2t, e3t}

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