Question

(1 point) Let c=1 ). 6 = [-), = [E]. * = [1] Is ū a linear combination of the vectors ū1, ū2 and ū3 ? choose If possible, write ū as a linear combination of the vectors ū1, 72 and 73. For example, the answer ū = 4ū1 + 5ū2 + 6Ū3 would be entered 4v1 + 5v2 + 6v3. If ū cannot be written as a linear combination of the vectors ū1, 72 and 73, enter DNE. ū = Note: In order to get credit for this problem all answers must be correct. Preview My Answers Submit Answers

Answer 1

Page 4 constants het - st. a, b, c are arbi W - au + 6 + cu - = - - 13 = -2a-b+ 50 -4 = -a -4b+c 4 2a + 6-50 = 13 +чь - c = ч Lc Lt Take [A: B] - Le 4 - 5:14] RARI ~ La 4 I -1 -5 : 4 Ret Ra- 2R, 4-1:47 : 131 Lo-7-3:51 2 a+ub-c=4 4 - 76-36 = 5 We get only Thus. c is freed elements two pivot, variable

(Page no. Take Then [c=1 - 76-36 = 5 = - ² 7 7b+36 = 5 7b+ 3 =-5 76= -5-3 76 = -8 Now, use b & c a+4b-6=4 in . = a +46-8 -1=4 I = a - 32 -1 = 4 7 - a - 39 =4 a = 4+39 - a= 28+39 a lae 67/ is of Mence. Yes, w - of the a linear combination vectors Vi, Je and I and / W = 67 Vq - & Ve + V3