Exercise 10.1.1 Consider the following functions T: R³ → R2. For each of these functions T, show that it is not linear either by showing that T does not preserve addition, or by showing that it does not preserve scalar multiplication, or by showing that it does not preserve the zero vector. (a) T (b) T X Z X Z = x+2y+3z +1 2y-3x+z x+2y² +3z 2y+3x+z ].

Exercise 10.1.1 Consider the following functions T: R³ → R2. For each of these functions T, show that it is not linear either by showing that T does not preserve addition, or by showing that it does not preserve scalar multiplication, or by showing that it does not preserve the zero vector. (a) T (b) T X Z X Z = x+2y+3z +1 2y-3x+z x+2y² +3z 2y+3x+z ].

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 7E

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