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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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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).
Transcribed Image Text: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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