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(Solved): QUESTION 3 Let T:R^(3)->R^(3) defined by T([[x],[y],[z]])=[[x-y],[2z],[x+z]]. 3.1. Show that T is ...



QUESTION 3 Let

T:R^(3)->R^(3)

defined by

T([[x],[y],[z]])=[[x-y],[2z],[x+z]]

. 3.1. Show that

T

is linear. 3.2. Find the translation matrix

A

of

T

. 3.3. Use the result in (3.2) to find

T([[1],[-2],[2]])

.



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