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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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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