(i) Determine whether or not the set w = [(x.y.z) e R +y +z-1) is a subspace of w(ii) Write (1,7,17) as a linear combination of (1,2,-1).(0,1,5) and (1,1,1).

W is not subspace because (0,0,0) does not belongs to this set ( 0^2 + 0^2 + 0^2 is not equal to 1)…

Answered: i) Determine whether or not the set w -…

i) Determine whether or not the set w - ((x.y.2) ej+y +-1) is a subspace of w i) Write (1,7,17) as a linear combination of (1,2,-1).(0,1,5) and (1,1,1).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.1: Vector Spaces And Subspaces

Problem 42EQ

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(i) Determine whether or not the set w = [(x.y.z) e R +y +z-1) is a subspace of w
(ii) Write (1,7,17) as a linear combination of (1,2,-1).(0,1,5) and (1,1,1).

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