Use the function to find the image of v and the preimage of w. T(v1, v2) = (v1 + v2, v1 − v2), v = (5, −2), w = (7, 19) (a) the image of v

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 20CM
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Use the function to find the image of v and the preimage of w.

T(v1, v2) = (v1 + v2, v1 − v2), v = (5, −2), w = (7, 19)
(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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