Determine whether T is linear , if not state whether it is the additivity or the homogenity property (or both ) that fails . T(x,y,z) =(0,0) T(x,y,z) =(y^2 ,z) T(x,y,z) =(3x-4y, 2x-5z

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 43E
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Determine whether T is linear , if not state whether it is the additivity or the homogenity property (or both ) that fails .

 
  1. T(x,y,z) =(0,0)
  2. T(x,y,z) =(y^2 ,z)
  3. T(x,y,z) =(3x-4y, 2x-5z
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