Consider the set of vectors span (V₁, V2, V3) where 1 V1 = 0 0 V₂ = 1 V3 = It was shown in the videos that V3 is in the span(V1, V₂). Which statements are true about the span of sets of these vectors (Select all that apply) V₁ is in the span(V2, V3). Any vector in the span(Vv₁, V2, V3) is also in the span(V1, V2). V3-V1 + V2 Any vector in the span(v₁, V₂, V3) is also in the span(v₁, V3). V2 is in the span(V1, V3).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the set of vectors span (V₁, V₂, V3) where
0
1
V1 =
V₂ =
0
It was shown in the videos that V3 is in the span(V1, V₂).
Which statements are true about the span of sets of these vectors
(Select all that apply)
V3 =
1
V₁ is in the span(V₂, V3).
V3-V1 + V2
Any vector in the span(V₁, V2, V3) is also in the span(V1, V2).
Any vector in the span(v₁, V2, V3) is also in the span(v₁, V3).
V2 is in the span(v1, V3).
Transcribed Image Text:Consider the set of vectors span (V₁, V₂, V3) where 0 1 V1 = V₂ = 0 It was shown in the videos that V3 is in the span(V1, V₂). Which statements are true about the span of sets of these vectors (Select all that apply) V3 = 1 V₁ is in the span(V₂, V3). V3-V1 + V2 Any vector in the span(V₁, V2, V3) is also in the span(V1, V2). Any vector in the span(v₁, V2, V3) is also in the span(v₁, V3). V2 is in the span(v1, V3).
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