2. Is the set of vectors of the form a subspace of R°? Show your proof. a+25 3. Show that the vectors v, = (0, 3, 1, -1); v, =(6, 0, 5, 1); v, = (4, -7, 1, 3) form a linearly dependent set in R'? 4. Express Vi 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 R X,

2. Is the set of vectors of the form a subspace of R°? Show your proof. a+25 3. Show that the vectors v, = (0, 3, 1, -1); v, =(6, 0, 5, 1); v, = (4, -7, 1, 3) form a linearly dependent set in R'? 4. Express Vi 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 R X,

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...

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