A. Determine whether the vector v is in the span of a set S, where v = (2-1 13) and S = {( 1 0 1 -1), (0 1 1 1 )} in R4 B. Consider the vectors from R³ 1 (~)~ V₂= a 3 = V₁2 0 V3 = | 4 b Create the augmented matrix which correspond to the equation X₁V₁ + X₂V₂+X3V3 = 0 and by using the REF form of the matrix created in part a, determine the conditions on the scalars a, b ER so that the set S={V₁, V₂ V3} is linearly dependent C. Given the vectors in R3: (11 c), (-101), (-212). Find the value of c, for which given vectors are linearly dependent

A. Determine whether the vector v is in the span of a set S, where v = (2-1 13) and S = {( 1 0 1 -1), (0 1 1 1 )} in R4 B. Consider the vectors from R³ 1 (~)~ V₂= a 3 = V₁2 0 V3 = | 4 b Create the augmented matrix which correspond to the equation X₁V₁ + X₂V₂+X3V3 = 0 and by using the REF form of the matrix created in part a, determine the conditions on the scalars a, b ER so that the set S={V₁, V₂ V3} is linearly dependent C. Given the vectors in R3: (11 c), (-101), (-212). Find the value of c, for which given vectors are linearly dependent

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 45E

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