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

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

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(a) (sint + 2 cost, sint - 2 cost, 2 sint + cost, 2 sint - cost} (b) {sint, cost, sin 2t, cos 2t, sin 3t, cos 3t} (c) {1+2t, 2t - 31, 31 + 4t, 4t - 5t4} (d) {1+ 2t, 2t - 3t, 3t + 4t, 41} (e) {1, 1+ 2t, 2t - 31, 31+ 41, 41} (f) {Ina, In b, In ab} (g) {e, e', est} (h) {e', e e, e - e, e} (i) {f(t), f(t)- g(t), f(t) + g(t)} (j) {1-2t, t - 3t, 2t - 4t, 3t - 5t} (k) {1, 1+1, 1+t + t, 1 + t + t + 1}