a 2. Is the set of vectors of the form b a subspace of R³? Show your proof. a+2b] 3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly dependent set in R¹? 4. Express V₁ in number 3 as linear combination of V₂ and V3. 5. For which value of x do the following vectors form a linearly dependent set in R³ x=(x + ²x=(7 × x=(2x) x₂
a 2. Is the set of vectors of the form b a subspace of R³? Show your proof. a+2b] 3. Show that the vectors v₁ = (0, 3, 1, -1); v₂ (6, 0, 5, 1); v =(4, -7, 1, 3) form a linearly dependent set in R¹? 4. Express V₁ in number 3 as linear combination of V₂ and V3. 5. For which value of x do the following vectors form a linearly dependent set in R³ x=(x + ²x=(7 × x=(2x) x₂
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...
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