SOLUTION: Let v1=[2,0,6] , v2=[-1,4,5] , v3=[1,-1,1].
Find the value(s) of k for which b=[2,1,k] can be written as a linear combination of vectors v1, v2, and v3.
My attempt:
c1v1 + c2
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-> SOLUTION: Let v1=[2,0,6] , v2=[-1,4,5] , v3=[1,-1,1].
Find the value(s) of k for which b=[2,1,k] can be written as a linear combination of vectors v1, v2, and v3.
My attempt:
c1v1 + c2
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Question 1086854: Let v1=[2,0,6] , v2=[-1,4,5] , v3=[1,-1,1].
Find the value(s) of k for which b=[2,1,k] can be written as a linear combination of vectors v1, v2, and v3.
My attempt:
c1v1 + c2v2 + c3v3 = b.
[[2 -1 1 | 2]
[0 4 -1 | 1]
[6 5 1 | k]]
I simplified this matrix down to:
[[1 -1/2 1/2 | 1]
[0 1 -1/4 | 1/4]
[0 0 0 | k-8 ]]
I got stuck at this part. I was not sure what to do after this or whether I was approaching the problem properly. Answer by ikleyn(52785) (Show Source):
