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Matrix - Linear Transformations

Okay, so normally I wouldn't post a whole question nor would I post without my attempt but my exam is tomorrow and I've no idea how to do this question. ANY help would be massively appreciated! Even if it's just getting me started.. please.. :cry2:
Original post by Substitution
Okay, so normally I wouldn't post a whole question nor would I post without my attempt but my exam is tomorrow and I've no idea how to do this question. ANY help would be massively appreciated! Even if it's just getting me started.. please.. :cry2:


For part (i):

a) write an arbitrary (a,b,c)R3(a,b,c) \in \mathbb{R}^3 as a l.c. of the B' basis vectors

b) Find the images of eiBe_i \in B under TT i.e. find T(ei)R3T(e_i) \in \mathbb{R}^3 for each basis vector

c) Use part a) to write your images from b) as l.cs of the B' basis vectors - this gives you the components of the images that you need to..

d) ..put as column vectors in a 2x3 matrix, which is TT

e) Bob's your uncle...

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