Filling in the blanks for part a, b and cFor part a and b, where it says "choose" the options are1) yes they are equal2) no they are not equalFor part c, where it says "choose" the options are1) f is a linear transformation2) f is not a linear transformation Let f : R? → R be defined by f((x, y))9x + 6y. Is fa linear transformation?a. f((x1,Y1) + (x2, Y2))(Enter a1 as x1, etc.)f((T1, 41)) + f(x2, Y2)) =+Does f({r1,Y1) + (x2, Y2)) = f((x1, Y1)) + f({x2, Y2)) for all (x1, Y1), (r2, Y2) E R?? chooseb. 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?? choosec. Is fa linear transformation? choose

Answered: Image /qna-images/answer/adc90a91-93fb-41b3-a8e4-98efd45d8d03.jpg

Let f : R → R be defined by f((x, y)) = 9x + 6y. Is ƒ a linear transformation? a. f((r1, Y1) + (x2, Y2)) = (Enter a, as x1, etc.) f(r1, Y1)) + f({x2, 42)) = Does f((x1, Y1) + (x2, Y2)) = f((x1, Y1)) + f({x2, Y2)) for all (x1, Y1), (x2, Y2) E R?? choose b. f(c(r, y)) = c(f({x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c eR and al (x, y) E R?? choose c. Is fa linear transformation? choose

Let f : R → R be defined by f((x, y)) = 9x + 6y. Is ƒ a linear transformation? a. f((r1, Y1) + (x2, Y2)) = (Enter a, as x1, etc.) f(r1, Y1)) + f({x2, 42)) = Does f((x1, Y1) + (x2, Y2)) = f((x1, Y1)) + f({x2, Y2)) for all (x1, Y1), (x2, Y2) E R?? choose b. f(c(r, y)) = c(f({x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c eR and al (x, y) E R?? choose c. Is fa linear transformation? choose

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 12EQ

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