Create a bijective transformation that maps P2 to R^3? If so, create the map, or explain why this is not possible.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
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Create a bijective transformation that maps P2 to R^3? If so, create the map, or explain why this is not possible.

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