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a. f((x1, yı) + (x2, Y2)) = (Enter x1 as x1, etc.) f((x1, yı )) + f((x2, Y2)) = + %3D Does f({x1, Yi)+ (x2, Y2)) = f((x1, Yı )+ f({x2, Y2)) for all (x1, yı ), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) E R²? choose %3D

a. f((x1, yı) + (x2, Y2)) = (Enter x1 as x1, etc.) f((x1, yı )) + f((x2, Y2)) = + %3D Does f({x1, Yi)+ (x2, Y2)) = f((x1, Yı )+ f({x2, Y2)) for all (x1, yı ), (x2, Y2) E R²? choose b. f(c(x, y)) = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c e R and all (x, y) E R²? choose %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 56E
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Let f:R2→R be defined by f(⟨x,y⟩)=9x+3y. Is f a linear transformation?

a. f((x1, yı) + (x2, Y2 )) = - (Enter x1 as x1, etc.) f((x1, yı )) + f((x2, y2 )) = + Does f((x1, yı) + (x2, Y2 )) = f((x1,y1 )) + f({x2, y2 )) for all (x1, y1 ), (x2, y2) E R? choose b. f(c(x, y)) = c(f({x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c E R and all (x, y) E R? choose c. Is f a linear transformation? choose
Transcribed Image Text:a. f((x1, yı) + (x2, Y2 )) = - (Enter x1 as x1, etc.) f((x1, yı )) + f((x2, y2 )) = + Does f((x1, yı) + (x2, Y2 )) = f((x1,y1 )) + f({x2, y2 )) for all (x1, y1 ), (x2, y2) E R? choose b. f(c(x, y)) = c(f({x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c E R and all (x, y) E R? choose c. Is f a linear transformation? choose
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