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a4 a1 Let V1 (3).. b4 be four vectors in R³. b₁ b₂ V3 = C1 C2 C4 a1 a2 a3 a4 If we reduce the matrix A = b₁ b₂ b3 b4 to reduced echelon form, we get the following matrix: C1 C2 C3 C4 /1 0 0 3 0 1 0 5 0 0 17, Which one of the following statements must be true? Select one alternative: The set {V₁, V2, V3} is linearly dependent. v4 is a linear combination of V₁, V2₂, and V3 The set {V₁, V2, V3, V4} is linearly independent. V3 is a linear combination of v₁ and v2. = V2 = a2 az b3 C3 V4 =

a4 a1 Let V1 (3).. b4 be four vectors in R³. b₁ b₂ V3 = C1 C2 C4 a1 a2 a3 a4 If we reduce the matrix A = b₁ b₂ b3 b4 to reduced echelon form, we get the following matrix: C1 C2 C3 C4 /1 0 0 3 0 1 0 5 0 0 17, Which one of the following statements must be true? Select one alternative: The set {V₁, V2, V3} is linearly dependent. v4 is a linear combination of V₁, V2₂, and V3 The set {V₁, V2, V3, V4} is linearly independent. V3 is a linear combination of v₁ and v2. = V2 = a2 az b3 C3 V4 =

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 3CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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as a1 Let V₁ = (3).. b₁ b₂ b4 be four vectors in R³. V3 = C1 C2 C4 a1 a2 a3 a4 If we reduce the matrix A = b₁ b₂ b3 b4 to reduced echelon form, we get the following matrix: C1 C2 C3 C4 /1 0 0 3 0 1 0 5 0 0 17, Which one of the following statements must be true? Select one alternative: © The set {V₁, V2, V3} is linearly dependent. v4 is a linear combination of V₁, V2, and V3 The set {V₁, V2, V3, V4} is linearly independent. V3 is a linear combination of v₁ and v2. V2 = a2 az b3 C3 V4 =
Transcribed Image Text:as a1 Let V₁ = (3).. b₁ b₂ b4 be four vectors in R³. V3 = C1 C2 C4 a1 a2 a3 a4 If we reduce the matrix A = b₁ b₂ b3 b4 to reduced echelon form, we get the following matrix: C1 C2 C3 C4 /1 0 0 3 0 1 0 5 0 0 17, Which one of the following statements must be true? Select one alternative: © The set {V₁, V2, V3} is linearly dependent. v4 is a linear combination of V₁, V2, and V3 The set {V₁, V2, V3, V4} is linearly independent. V3 is a linear combination of v₁ and v2. V2 = a2 az b3 C3 V4 =
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