1 1 Let A = = 2 -1 1],μεR. 4 a) (4 marks) For each µ Є R find Cartesian equations for Col(A) and Null(A). b) (2 marks) Are the columns of A linearly independent? Give full reasons for your answer (discussion in terms of μ Є R, based on the definition of linear independence).

1 1 Let A = = 2 -1 1],μεR. 4 a) (4 marks) For each µ Є R find Cartesian equations for Col(A) and Null(A). b) (2 marks) Are the columns of A linearly independent? Give full reasons for your answer (discussion in terms of μ Є R, based on the definition of linear independence).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 30EQ

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Question

1
1
Let A =
=
2 -1 1],μεR.
4
a) (4 marks) For each µ Є R find Cartesian equations for Col(A) and Null(A).
b) (2 marks) Are the columns of A linearly independent? Give full reasons for your answer
(discussion in terms of μ Є R, based on the definition of linear independence).

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