Let f : R? → R be defined by f({x, y)) = 3x – 3y. Is f a linear transformation? a. f((x1,Y1) + (x2, Y2)) = (Enter xị as x1, etc.) f((x1, 41)) + f({x2, Y2)) + Does f((x1, Y1) + (x2, y2)) = f({x1, Yı)) + f({x2, y2)) for all (x1, yı), (x2, Y2) E R²? choose choose b. f(c(x, y)) = Yes, they are equal No, they are not equal 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 fa linear transformation? choose

Let f : R? → R be defined by f({x, y)) = 3x – 3y. Is f a linear transformation? a. f((x1,Y1) + (x2, Y2)) = (Enter xị as x1, etc.) f((x1, 41)) + f({x2, Y2)) + Does f((x1, Y1) + (x2, y2)) = f({x1, Yı)) + f({x2, y2)) for all (x1, yı), (x2, Y2) E R²? choose choose b. f(c(x, y)) = Yes, they are equal No, they are not equal 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 fa linear transformation? choose

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 4EQ

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