Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 - V1, 4V1 + 5v2), v = (3, -2, -1), w = (3, 9) (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
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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Use the function to find the image of v and the preimage of w.
T(V1, V2, V3) = (4v2 - Vị, 4V1 + 5v2), v = (3, -2, -1), w = (3, 9)
(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.)
Transcribed Image Text:Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 - Vị, 4V1 + 5v2), v = (3, -2, -1), w = (3, 9) (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.)
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