Work Problem 1 (Determine whether the vector v is in the spanof a set S, wherea) v = ( 2 –1 1 3) andS ={(10 1 -1), (0 11 1)} in R4%3D|b) v = – x³ +2x2 - 3x-3 andS={x³+x² + x+1, x²+x+1, x+1} in P3

In this question , we can determine the vector v is in the span of a set S .That is we can check…

Answered: Work Problem 1 (* Determine whether the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 6AEXP

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Work Problem 1 (* Determine whether the vector v is in the span of a set S, where a) v = ( 2 –1 1 3) and S=(1 0 1 -1), (0 1 1 1)} in R4 b) v = - x³ +2x²– 3x-3 and S={x³+x² + x+1, x²+ x+1, x+1} in P3