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 (c) T Z X 3-4 = Z X Z x+2y+3z +1 2y-s = 2y+3x+z 1. sinx+2y+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 (c) T Z X 3-4 = Z X Z x+2y+3z +1 2y-s = 2y+3x+z 1. sinx+2y+3z 2y+3x+z
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 12EQ
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can you help me solve part b and c please?
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