Which of the following sets is a basis for the vector space P2?Select one:O {r? + t – 1,1 + 2,1² + 21 + 1}O {1² + t - 1,1 + 2, 21 + 4}O {r² + t – 1,21² + 2t – 2,21² – 3}O none of the othersO {r² +t – 1,1 + 2, 6r² – 9}For which value of x the set of vectorsis alinearly dependent set in R??Select one:O none of the othersO -3O -2O 1

Answered: Image /qna-images/answer/b1365912-c46f-489a-ab5e-f5710ecd3acd.jpg

Which of the following sets is a basis for the vector space P2? Select one: O {r² + t – 1,1 + 2,1² + 21 + 1} O {r² +t – 1,1 + 2, 21 + 4} O {r² +t – 1,2r² + 21 – 2, 21² – 3} - - none of the others O {r² +t - 1,1 + 2, 6r² – 9} For which value of x the set of vectors is a linearly dependent set in R? Select one: O none of the others O -3 O -2 O -1

Which of the following sets is a basis for the vector space P2? Select one: O {r² + t – 1,1 + 2,1² + 21 + 1} O {r² +t – 1,1 + 2, 21 + 4} O {r² +t – 1,2r² + 21 – 2, 21² – 3} - - none of the others O {r² +t - 1,1 + 2, 6r² – 9} For which value of x the set of vectors is a linearly dependent set in R? Select one: O none of the others O -3 O -2 O -1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 24EQ

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