| Let T : R? → R? be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps v = (1, 3) into (-1,3). Use properties of alinear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.)T(3u) =T(-83) =T(3u – 80)

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Answered: ) Let T : R? → R? be a linear…

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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) Let T : R? → R? be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps i = (1,3) into (-1, 3). Use properties of a linear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(3u) = T(-83) =