ChapteW 11.(6.1,63) xLarson, lmentxOuiz 9.7112) x HW Secure https/www.webassign.

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ChapteW 11.(6.1,63) xLarson, lmentxOuiz 9.7112) x HW Secure https/www.webassign.net/web/Student/Assignment-Responses/submit?dep +-13 points LarLinAlg7 6.1.003. 0/1 Submissions Used Use the function to find the image of v and the preimage of w. T(VI, V2, V3)(2 Vi, Vi + V2, 2Vi), v (a) the image of v (4, 7, 0), w (-7, 3, 10) (b) the preimage of w (If the vector has an infinite number of solutions, give Show My Work (Required) What steps or reasoning did you use? Your work counts towards your score. You can submit show my work an unlimited number of times Show My Work has not been graded yet.

Explanation / Answer

a) image of v will be given by function

T(v1,v2,v3) = (v2-v1,v1+v2,2v1) =

so v(4,7,0) = (7-4,7+4,2*4) = (3,11,8) Answer

b) we have to find preimage so w can be written as below

w(v1,v2,v3) = (-7,3,10)

v2 - v1 = -7

v1+v2 = 3

2v1 = 10

on solving these equation v1 = 5 and v2 = -2

v3 can't be identified here so, v3 can be any real number

so, w = (5,-2, any real number) - It has infinite number of solution

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