Given that V1 = 5 and V2 = -20 are linearly dependent. Choose the best answer below about the subset H = Span{V₁, V₂} of R³. -36 O As the vectors are linearly independent, H is a subspace. OH is not a subsapce as it does not contain the zero vector. O As the vectors are not linearly independent, H is not a subspace. OH is a subspace becasue it is a span of two vectors.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given that
V1 = 5
and V₂ =
-4
-20 are linearly dependent. Choose the best answer below about the subset H = Span{v1, v₂} of R³.
-36
O As the vectors are linearly independent, H is a subspace.
OH is not a subsapce as it does not contain the zero vector.
O As the vectors are not linearly independent, H is not a subspace.
H is a subspace becasue it is a span of two vectors.
Transcribed Image Text:Given that V1 = 5 and V₂ = -4 -20 are linearly dependent. Choose the best answer below about the subset H = Span{v1, v₂} of R³. -36 O As the vectors are linearly independent, H is a subspace. OH is not a subsapce as it does not contain the zero vector. O As the vectors are not linearly independent, H is not a subspace. H is a subspace becasue it is a span of two vectors.
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