Explanation Given: A linear map that satisfies that following conditions: G ( 2 , 0 ) = ( 4 , 0 ) , G ( 0 , 3 ) = ( − 3 , 9 ) Formula used: A linear map has the form G ( u , v ) = ( a u + b v , c u + d v ) Calculation: Comparing the given conditions with the definition of linear map, we can write: ∵ G ( u , v ) = ( a u + b v , c u + d v ) ∴ G ( 2 , 0 ) = ( 4 , 0 ) ⇒ 2 a + b ( 0 ) = 4 , 2 c + d ( 0 ) = 0 ⇒ a = 2 , c = 0 ∴ G ( 0 , 3 ) = ( − 3 , 9 ) ⇒ a ( 0 ) + 3 b = − 3 , c ( 0 ) + 3 d = 9 ⇒ b = − 1 , d = 3 Thus, the linear map is defined as: ⇒ G ( u , v ) = ( 2 u − 1 v , 0 u + 3 v ) ⇒ G ( u , v ) = ( 2 u − v , 3 v ) Now, we can use this linear map to determine the images for the given points: ( a ) G ( 1 , 0 ) : Since we have, ⇒ G ( u

3rd Edition

ISBN: 9781464114885

Author: Jon Rogawski, Colin Adams

Publisher: W. H. Freeman

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Question

Chapter 15.6, Problem 2PQ

To determine

Images of the follow using the given linear map.

$\begin{array}{l} (a) G (1, 0) \\ (b) G (1, 1) \\ (c) G (2, 1) \end{array}$

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Chapter 15.6, Problem 1PQ

Chapter 15.6, Problem 3PQ

Chapter 15 Solutions

Calculus: Early Transcendentals

Ch. 15.1 - Prob. 1PQ Ch. 15.1 - Prob. 2PQ Ch. 15.1 - Prob. 3PQ Ch. 15.1 - Prob. 4PQ Ch. 15.1 - Prob. 5PQ Ch. 15.1 - Prob. 6PQ Ch. 15.1 - Prob. 1E Ch. 15.1 - Prob. 2E Ch. 15.1 - Prob. 3E Ch. 15.1 - Prob. 4E

Ch. 15.1 - Prob. 5E Ch. 15.1 - Prob. 6E Ch. 15.1 - Prob. 7E Ch. 15.1 - Prob. 8E Ch. 15.1 - Prob. 9E Ch. 15.1 - Prob. 10E Ch. 15.1 - Prob. 11E Ch. 15.1 - Prob. 12E Ch. 15.1 - Prob. 13E Ch. 15.1 - Prob. 14E Ch. 15.1 - Prob. 15E Ch. 15.1 - Prob. 16E Ch. 15.1 - Prob. 17E Ch. 15.1 - Prob. 18E Ch. 15.1 - Prob. 19E Ch. 15.1 - Prob. 20E Ch. 15.1 - Prob. 21E Ch. 15.1 - Prob. 22E Ch. 15.1 - Prob. 23E Ch. 15.1 - Prob. 24E Ch. 15.1 - Prob. 25E Ch. 15.1 - Prob. 26E Ch. 15.1 - Prob. 27E Ch. 15.1 - Prob. 28E Ch. 15.1 - Prob. 29E Ch. 15.1 - Prob. 30E Ch. 15.1 - Prob. 31E Ch. 15.1 - Prob. 32E Ch. 15.1 - Prob. 33E Ch. 15.1 - Prob. 34E Ch. 15.1 - Prob. 35E Ch. 15.1 - Prob. 36E Ch. 15.1 - Prob. 37E Ch. 15.1 - Prob. 38E Ch. 15.1 - Prob. 39E Ch. 15.1 - Prob. 40E Ch. 15.1 - Prob. 41E Ch. 15.1 - Prob. 42E Ch. 15.1 - Prob. 43E Ch. 15.1 - Prob. 44E Ch. 15.1 - Prob. 45E Ch. 15.1 - Prob. 46E Ch. 15.1 - Prob. 47E Ch. 15.1 - Prob. 48E Ch. 15.1 - Prob. 49E Ch. 15.1 - Prob. 50E Ch. 15.1 - Prob. 51E Ch. 15.1 - Prob. 52E Ch. 15.1 - Prob. 53E Ch. 15.2 - Prob. 1PQ Ch. 15.2 - Prob. 2PQ Ch. 15.2 - Prob. 3PQ Ch. 15.2 - Prob. 4PQ Ch. 15.2 - Prob. 1E Ch. 15.2 - Prob. 2E Ch. 15.2 - Prob. 3E Ch. 15.2 - Prob. 4E Ch. 15.2 - Prob. 5E Ch. 15.2 - Prob. 6E Ch. 15.2 - Prob. 7E Ch. 15.2 - Prob. 8E Ch. 15.2 - Prob. 9E Ch. 15.2 - Prob. 10E Ch. 15.2 - Prob. 11E Ch. 15.2 - Prob. 12E Ch. 15.2 - Prob. 13E Ch. 15.2 - Prob. 14E Ch. 15.2 - Prob. 15E Ch. 15.2 - Prob. 16E Ch. 15.2 - Prob. 17E Ch. 15.2 - Prob. 18E Ch. 15.2 - Prob. 19E Ch. 15.2 - Prob. 20E Ch. 15.2 - Prob. 21E Ch. 15.2 - Prob. 22E Ch. 15.2 - Prob. 23E Ch. 15.2 - Prob. 24E Ch. 15.2 - Prob. 25E Ch. 15.2 - Prob. 26E Ch. 15.2 - Prob. 27E Ch. 15.2 - Prob. 28E Ch. 15.2 - Prob. 29E Ch. 15.2 - Prob. 30E Ch. 15.2 - Prob. 31E Ch. 15.2 - Prob. 32E Ch. 15.2 - Prob. 33E Ch. 15.2 - Prob. 34E Ch. 15.2 - Prob. 35E Ch. 15.2 - Prob. 36E Ch. 15.2 - Prob. 37E Ch. 15.2 - Prob. 38E Ch. 15.2 - Prob. 39E Ch. 15.2 - Prob. 40E Ch. 15.2 - Prob. 41E Ch. 15.2 - Prob. 42E Ch. 15.2 - Prob. 43E Ch. 15.2 - Prob. 44E Ch. 15.2 - Prob. 45E Ch. 15.2 - Prob. 46E Ch. 15.2 - Prob. 47E Ch. 15.2 - Prob. 48E Ch. 15.2 - Prob. 49E Ch. 15.2 - Prob. 50E Ch. 15.2 - Prob. 51E Ch. 15.2 - Prob. 52E Ch. 15.2 - Prob. 53E Ch. 15.2 - Prob. 54E Ch. 15.2 - Prob. 55E Ch. 15.2 - Prob. 56E Ch. 15.2 - Prob. 57E Ch. 15.2 - Prob. 58E Ch. 15.2 - Prob. 59E Ch. 15.2 - Prob. 60E Ch. 15.2 - Prob. 61E Ch. 15.2 - Prob. 62E Ch. 15.2 - Prob. 63E Ch. 15.2 - Prob. 64E Ch. 15.2 - Prob. 65E Ch. 15.2 - Prob. 66E Ch. 15.2 - Prob. 67E Ch. 15.2 - Prob. 68E Ch. 15.3 - Prob. 1PQ Ch. 15.3 - Prob. 2PQ Ch. 15.3 - Prob. 3PQ Ch. 15.3 - Prob. 1E Ch. 15.3 - Prob. 2E Ch. 15.3 - Prob. 3E Ch. 15.3 - Prob. 4E Ch. 15.3 - Prob. 5E Ch. 15.3 - Prob. 6E Ch. 15.3 - Prob. 7E Ch. 15.3 - Prob. 8E Ch. 15.3 - Prob. 9E Ch. 15.3 - Prob. 10E Ch. 15.3 - Prob. 11E Ch. 15.3 - Prob. 12E Ch. 15.3 - Prob. 13E Ch. 15.3 - Prob. 14E Ch. 15.3 - Prob. 15E Ch. 15.3 - Prob. 16E Ch. 15.3 - Prob. 17E Ch. 15.3 - Prob. 18E Ch. 15.3 - Prob. 19E Ch. 15.3 - Prob. 20E Ch. 15.3 - Prob. 21E Ch. 15.3 - Prob. 22E Ch. 15.3 - Prob. 23E Ch. 15.3 - Prob. 24E Ch. 15.3 - Prob. 25E Ch. 15.3 - Prob. 26E Ch. 15.3 - Prob. 27E Ch. 15.3 - Prob. 28E Ch. 15.3 - Prob. 29E Ch. 15.3 - Prob. 30E Ch. 15.3 - Prob. 31E Ch. 15.3 - Prob. 32E Ch. 15.3 - Prob. 33E Ch. 15.3 - Prob. 34E Ch. 15.3 - Prob. 35E Ch. 15.3 - Prob. 36E Ch. 15.3 - Prob. 37E Ch. 15.3 - Prob. 38E Ch. 15.3 - Prob. 39E Ch. 15.3 - Prob. 40E Ch. 15.3 - Prob. 41E Ch. 15.3 - Prob. 42E Ch. 15.3 - Prob. 43E Ch. 15.3 - Prob. 44E Ch. 15.4 - Prob. 1PQ Ch. 15.4 - Prob. 2PQ Ch. 15.4 - Prob. 3PQ Ch. 15.4 - Prob. 4PQ Ch. 15.4 - Prob. 1E Ch. 15.4 - Prob. 2E Ch. 15.4 - Prob. 3E Ch. 15.4 - Prob. 4E Ch. 15.4 - Prob. 5E Ch. 15.4 - Prob. 6E Ch. 15.4 - Prob. 7E Ch. 15.4 - Prob. 8E Ch. 15.4 - Prob. 9E Ch. 15.4 - Prob. 10E Ch. 15.4 - Prob. 11E Ch. 15.4 - Prob. 12E Ch. 15.4 - Prob. 13E Ch. 15.4 - Prob. 14E Ch. 15.4 - Prob. 15E Ch. 15.4 - Prob. 16E Ch. 15.4 - Prob. 17E Ch. 15.4 - Prob. 18E Ch. 15.4 - Prob. 19E Ch. 15.4 - Prob. 20E Ch. 15.4 - Prob. 21E Ch. 15.4 - Prob. 22E Ch. 15.4 - Prob. 23E Ch. 15.4 - 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Prob. 9E Ch. 15.5 - Prob. 10E Ch. 15.5 - Prob. 11E Ch. 15.5 - Prob. 12E Ch. 15.5 - Prob. 13E Ch. 15.5 - Prob. 14E Ch. 15.5 - Prob. 15E Ch. 15.5 - Prob. 16E Ch. 15.5 - Prob. 17E Ch. 15.5 - Prob. 18E Ch. 15.5 - Prob. 19E Ch. 15.5 - Prob. 20E Ch. 15.5 - Prob. 21E Ch. 15.5 - Prob. 22E Ch. 15.5 - Prob. 23E Ch. 15.5 - Prob. 24E Ch. 15.5 - Prob. 25E Ch. 15.5 - Prob. 26E Ch. 15.5 - Prob. 27E Ch. 15.5 - Prob. 28E Ch. 15.5 - Prob. 29E Ch. 15.5 - Prob. 30E Ch. 15.5 - Prob. 31E Ch. 15.5 - Prob. 32E Ch. 15.5 - Prob. 33E Ch. 15.5 - Prob. 34E Ch. 15.5 - Prob. 35E Ch. 15.5 - Prob. 36E Ch. 15.5 - Prob. 37E Ch. 15.5 - Prob. 38E Ch. 15.5 - Prob. 39E Ch. 15.5 - Prob. 40E Ch. 15.5 - Prob. 41E Ch. 15.5 - Prob. 42E Ch. 15.5 - Prob. 43E Ch. 15.5 - Prob. 44E Ch. 15.5 - Prob. 45E Ch. 15.5 - Prob. 46E Ch. 15.5 - Prob. 47E Ch. 15.5 - Prob. 48E Ch. 15.5 - Prob. 49E Ch. 15.5 - Prob. 50E Ch. 15.5 - Prob. 51E Ch. 15.5 - Prob. 52E Ch. 15.5 - Prob. 53E Ch. 15.5 - Prob. 54E Ch. 15.5 - Prob. 55E Ch. 15.5 - Prob. 56E Ch. 15.5 - 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Prob. 38E Ch. 15.6 - Prob. 39E Ch. 15.6 - Prob. 40E Ch. 15.6 - Prob. 41E Ch. 15.6 - Prob. 42E Ch. 15.6 - Prob. 43E Ch. 15.6 - Prob. 44E Ch. 15.6 - Prob. 45E Ch. 15.6 - Prob. 46E Ch. 15.6 - Prob. 47E Ch. 15.6 - Prob. 48E Ch. 15.6 - Prob. 49E Ch. 15.6 - Prob. 50E Ch. 15.6 - Prob. 51E Ch. 15.6 - Prob. 52E Ch. 15 - Prob. 1CRE Ch. 15 - Prob. 2CRE Ch. 15 - Prob. 3CRE Ch. 15 - Prob. 4CRE Ch. 15 - Prob. 5CRE Ch. 15 - Prob. 6CRE Ch. 15 - Prob. 7CRE Ch. 15 - Prob. 8CRE Ch. 15 - Prob. 9CRE Ch. 15 - Prob. 10CRE Ch. 15 - Prob. 11CRE Ch. 15 - Prob. 12CRE Ch. 15 - Prob. 13CRE Ch. 15 - Prob. 14CRE Ch. 15 - Prob. 15CRE Ch. 15 - Prob. 16CRE Ch. 15 - Prob. 17CRE Ch. 15 - Prob. 18CRE Ch. 15 - Prob. 19CRE Ch. 15 - Prob. 20CRE Ch. 15 - Prob. 21CRE Ch. 15 - Prob. 22CRE Ch. 15 - Prob. 23CRE Ch. 15 - Prob. 24CRE Ch. 15 - Prob. 25CRE Ch. 15 - Prob. 26CRE Ch. 15 - Prob. 27CRE Ch. 15 - Prob. 28CRE Ch. 15 - Prob. 29CRE Ch. 15 - Prob. 30CRE Ch. 15 - Prob. 31CRE Ch. 15 - Prob. 32CRE Ch. 15 - Prob. 33CRE Ch. 15 - Prob. 34CRE Ch. 15 - Prob. 35CRE Ch. 15 - Prob. 36CRE Ch. 15 - Prob. 37CRE Ch. 15 - Prob. 38CRE Ch. 15 - Prob. 39CRE Ch. 15 - Prob. 40CRE Ch. 15 - Prob. 41CRE Ch. 15 - Prob. 42CRE Ch. 15 - Prob. 43CRE Ch. 15 - Prob. 44CRE Ch. 15 - Prob. 45CRE Ch. 15 - Prob. 46CRE Ch. 15 - Prob. 47CRE Ch. 15 - Prob. 48CRE Ch. 15 - Prob. 49CRE Ch. 15 - Prob. 50CRE Ch. 15 - Prob. 51CRE Ch. 15 - Prob. 52CRE Ch. 15 - Prob. 53CRE Ch. 15 - Prob. 54CRE Ch. 15 - Prob. 55CRE Ch. 15 - Prob. 56CRE Ch. 15 - Prob. 57CRE Ch. 15 - Prob. 58CRE Ch. 15 - Prob. 59CRE Ch. 15 - Prob. 60CRE Ch. 15 - Prob. 61CRE

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