Question

A9.4.13 Question Help Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). Let x = Select the correct choice below, and fill in the answer box to complete your choice. 5t O A. The vector functions are linearly dependent since there exists at least one point tin (-00,00) where det[xy(t) x2(t)] is not 0. In fact, det[x4(t) x2(t)] - OB. The vector functions are linearly independent since there exists at least one point tin (-00,00) where det X(t) x2(t) is 0. In fact, detfxy(t) x2(t)=- OC. The vector functions are linearly independent since there exists at least one point t in (-00,00) where det[xy(t) x2(t] is not 0. In fact, det[X1 (t) x2(t)) - ) OD. The vector functions are linearly dependent since there exists at least one point tin (-00,00) where det[X] (t) x2(t'] is 0. In fact, det[xy (t) x2(t)] = _.

Answer 1

Let x,= 5t det Sx, x] = det 5+3 4543 to. Hhe set Ofs vectons Şx, ,x ? Henie are lineadly indefpendent . i) optron (6) : The recton funitions linearly indipendent Since are there exists at lease buc point m (oo). othere det [x,Ht) X_ (+)] is 0. Da fact, det [3;t) %, (6)] = not T2 - 45 €