2. In each question, explain the reason. Consider the following vectors in R³: (a) (b) v₁ = (1, 0, 0), v₂ = (1, 1,0), V3 = (1, 1, 1), v₁ = (2, 1, 0). Do V1, V2, V3, V4 span R³? Are V₁, V2, U3, U4 a basis for R³? If not, find a subset of V1, V2, U3, U4 which is a basis of R³.
2. In each question, explain the reason. Consider the following vectors in R³: (a) (b) v₁ = (1, 0, 0), v₂ = (1, 1,0), V3 = (1, 1, 1), v₁ = (2, 1, 0). Do V1, V2, V3, V4 span R³? Are V₁, V2, U3, U4 a basis for R³? If not, find a subset of V1, V2, U3, U4 which is a basis of R³.
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Please do the following questions handwritten
Transcribed Image Text:2. In each question, explain the reason. Consider the following vectors in
R³:
(a)
(b)
V₁ =
(1, 0, 0), v₂ = (1, 1,0), V3
=
(1, 1, 1), V4
V1, V2, U3, U4 which is a basis of R³.
: (2, 1,0).
=
Do V1, V2, U3, U4 span R³?
Are V₁, V2, U3, U4 a basis for R³? If not, find a subset of
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