How many linear mappings are there from the space R^3 to R^2, which map (1,1,0)->(1,0),  (1,0,1)->(1,0), (1,0,0)->(1,0), (1,1,1)->(1,0)? (a) None. (b) One. (c) Two. (d) Three. (e) Infinitely many

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 19E
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How many linear mappings are there from the space R^3 to R^2, which map (1,1,0)->(1,0),  (1,0,1)->(1,0), (1,0,0)->(1,0), (1,1,1)->(1,0)? (a) None. (b) One. (c) Two. (d) Three. (e) Infinitely many

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