Use the function to find the image of v and the preimage of w. T(v,, v v,) = (4v, - v,, 4v, + 5v,), v = (1, -3, -4), w = (5, 22) (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(v,, v v,) = (4v, - v,, 4v, + 5v,), v = (1, -3, -4), w = (5, 22)
(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(v,, v v,) = (4v, - v,, 4v, + 5v,), v = (1, -3, -4), w = (5, 22) (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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