Answered: How many surjective linear mappings…

How many surjective linear mappings A:R^3->R^2 are there with the property A(1,1,0)→(1,0), A(1,0,1)→(0,1), and A(0,1,−1)→(0,0)? (a) None. (b) One. (c) Two. (d) Three. (e) Infinite.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

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Question

How many surjective linear mappings A:R^3->R^2 are there with the property A(1,1,0)→(1,0), A(1,0,1)→(0,1), and A(0,1,−1)→(0,0)? (a) None. (b) One. (c) Two. (d) Three. (e) Infinite.

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