Which of the following sets of functions are linearly dependent and which are linearly independent? (a) (sint
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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}
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a Linearly dependent for example 2sin t2 cos t 2sint 2 cost 2 sin t cost 2 sin tcos t 0 ...View the full answer
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