Consider the basis S v 1 , v 2 , v 3 for R 3 , where v 1 (1, 2, 1), v 2 (2, 9, 0), and v 3 (3, 3, 4), and let T R 3 R 2 be the linear transformation for which T (v 1 ) (1, 0), T (v 2 ) ( 1, 1), T (v 3 ) (0, 1) Find a formula for T ( x 1 , x 2 , x 3 ), and use that formula to find T (9, 80, 9) ...

V 121 V 90 V 334 T R2 T5245 29 52 45 C 12 1 2 6290 ...

Consider the basis S = {v 1 , v 2 , v 3 } for R 3

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Consider the basis S = {v₁, v₂, v₃} for R³, where v₁ = (1, 2, 1), v₂ = (2, 9, 0), and v₃ = (3, 3, 4), and let T:R³ → R² be the linear transformation for which

T(v₁) = (1, 0), T(v₂) = (− 1, 1), T(v₃) = (0, 1)

Find a formula for T(x₁, x₂, x₃), and use that formula to find T(9, 80, 9).

Related Book For answer-question

Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Posted Date: Dec 08, 2020 05:30 PM

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Consider the basis S = {v 1 , v 2 , v 3 } for R 3

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Linear Algebra and Its Applications

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