Question: Let a 1 =, a 2 =, a 3 =, and b =. Determine whether b can be written as a linear combination of a

Leta1=,a2=,a3=, andb=.

Determine whetherbcan be written as a linear combination ofa1,a2,anda3. In other words, determine whether weights x1, x2, and x3exist, such that x1a1+ x2a2+ x3a3=b. Determine the weights x1, x2, and x3if possible.

Let a 1 =, a 2 =, a 3 =, and b =. Determine
1 3 2 .4 Let31= 2 4 1l,andb=[2l. .32= .33= 3 1 6 2 Determine whether b can be written as a linear combination of a1, a2. and a3. In other words, determine whether weights x1, x2, and X3 exist, such that x1 31 + 1:: a2 + x3 a3 = b. Determine the weights x1, x2. and 1:3 if possible. OA)X1='6,X2=D,X3=1 OB] x1=2,X2=1,X3='% 0 Ci No solution ODlx1=-2,x2=-1.x3=2

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