19. Let V= {(a1, a2): a1, a2 € R}. Define addition of elements of V coor-dinatewise, and for (a₁, a2) in V and c € R, definec(a1, a2) =(0,0)if c = 0a2[(ca₁, 4²2) if c +0.C

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Answered: Let V = {(a1, a2): a₁, a2 € R}. Define…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.2: The Kernewl And Range Of A Linear Transformation

Problem 64E

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Let V = {(a1, a2): a₁, a2 € R}. Define addition of elements of V coor- dinatewise, and for (a₁, 02) in V and c € R, define c(a₁, a2) = (0,0) if c = 0 [(ca₁, a²2) if c ‡ 0.