SOLUTION: Let v1, v2, v3 be nonzero vectors in R4 where v3 = 3·v2.
Show that v1 is a linear combination of v2 and v3 if and only if v1 = a·v2 for some a ∈ R.
Algebra ->
Matrices-and-determiminant
-> SOLUTION: Let v1, v2, v3 be nonzero vectors in R4 where v3 = 3·v2.
Show that v1 is a linear combination of v2 and v3 if and only if v1 = a·v2 for some a ∈ R.
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Question 1177931: Let v1, v2, v3 be nonzero vectors in R4 where v3 = 3·v2.
Show that v1 is a linear combination of v2 and v3 if and only if v1 = a·v2 for some a ∈ R. Answer by robertb(5830) (Show Source):
