Find a subset of the vectors that forms a basis for the space spanned by the vectors, then express each vector that is not in the basis as a linear combination of the basis vectors. V₁-(1,-1,5,2), V₂ = (-2,3,1,0), v3 = (4-5,9,4), v4 = (0,4,2,-3), vs = (-1,25,49,-1) OV1, V2. V4 form the basis; V3-2V1-V2, Vs=7V1+4V2+5V4 V₁ forms the basis; V2=-2V1, V3-2V1, V4=-4V1, VS = 7V1 V₁ V2 V4 form the basis; V3 2v1+V2 V5 = 7V1 +5V2 + 4V4 V1, V2, V3 form the basis; V4-2V1-V2, V5-7V1+4V2+5V3 V1, V2, V3 form the basis; V3-7V1+V2, V4-7V1 +42

Find a subset of the vectors that forms a basis for the space spanned by the vectors, then express each vector that is not in the basis as a linear combination of the basis vectors. V₁-(1,-1,5,2), V₂ = (-2,3,1,0), v3 = (4-5,9,4), v4 = (0,4,2,-3), vs = (-1,25,49,-1) OV1, V2. V4 form the basis; V3-2V1-V2, Vs=7V1+4V2+5V4 V₁ forms the basis; V2=-2V1, V3-2V1, V4=-4V1, VS = 7V1 V₁ V2 V4 form the basis; V3 2v1+V2 V5 = 7V1 +5V2 + 4V4 V1, V2, V3 form the basis; V4-2V1-V2, V5-7V1+4V2+5V3 V1, V2, V3 form the basis; V3-7V1+V2, V4-7V1 +42

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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