Let f: R2 R³ be a linear map such that ƒ(1, 2) = (1,1,2), and ƒ(2, 1) = (2,2,1). Then→which equalitie are correct?f(0,0) = (0,0,0).f(1, 1) = (1, 1, 1).© ƒ(-1,1) = (-1,-1, 1).|© ƒ(-1,-1) = (-1.–1,1).

We are given that f is a linear map such that f(1,2)=(1,1,2) and f(2,1)=(2,2,1)

Answered: Let f: R2 R³ be a linear map such that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let f: R2 R³ be a linear map such that ƒ(1, 2) = (1,1,2), and ƒ(2, 1) = (2,2,1). Then which equalitie are correct? f(0,0)= (0,0,0). ƒ(1, 1) = (1, 1, 1). © ƒ(-1, 1) – (-1, -1. 1).