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
. 3.3. Use the result in (3.2) to find
T([[1],[-2],[2]])
.