T(V₁, V₂) − ( √₂v₁ – V⁄2v₂, v₁ + vž, 2v₁ − v₂), v = (5, 5), w = (-5√2, 2, −14) = (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 51E
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Use the function to find the image of v and the preimage of w.
√2
V₂) = (1/2
V
(√/²v₁ - 1/2 √₂² V₁ + √₂, 2v₁ – V₂)
T(V₁, V₂) =
(a) the image of v
v = (5, 5), w = (-5√//2, 2, -14)
(b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
Transcribed Image Text:Use the function to find the image of v and the preimage of w. √2 V₂) = (1/2 V (√/²v₁ - 1/2 √₂² V₁ + √₂, 2v₁ – V₂) T(V₁, V₂) = (a) the image of v v = (5, 5), w = (-5√//2, 2, -14) (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
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