It is known that the equation TL: R³ → R³ W₁ = x - 2y + 2z W₂ = 2x + y + z W3 = x + y a) Determine if the TL is one-to-one? b) Determine T-¹ (W₁, W₂, W3) if (x,y,z) = (1,2,1)

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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It is known that the equation TL: R³ → R³
W₁ = x - 2y + 2z
W₂ = 2x + y + z
W3 = x + y
a) Determine if the TL is one-to-one?
b) Determine T-¹ (W₁, W₂, W3) if (x,y,z) = (1,2,1)
Transcribed Image Text:It is known that the equation TL: R³ → R³ W₁ = x - 2y + 2z W₂ = 2x + y + z W3 = x + y a) Determine if the TL is one-to-one? b) Determine T-¹ (W₁, W₂, W3) if (x,y,z) = (1,2,1)
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