Mathematics, 26.02.2020 23:23 afosburgh20
Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vectors (2, 6, 6) and (−9, −2, 5) in Span{u, v} ?
Answers: 1
. We have that 
if and only if we can find scalars 
such that 
. This can be translated to the following equations: 
and check if the third equationd is fulfilled. 
, but note that for this values, the third equation doesn't hold (3+2 = 5 
6). So this vector is not in the generated space of u and v.
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.Another question on Mathematics
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Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu...
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