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1. Evening TSR

So I'm doing Linear Algebra atm and I'm really confused about the concept of transition matrices.

So in my notes, I have it that if we are moving from the standard basis S to an other basis S' both within the same vector space then the transition matrix T is:

TS=S'

So I was given a question where they gave me some basis S' and asked me to find the transition matrix.

I proceeded to find the inverse of T as I would have assume to go from a basis S' to S it would be the inverse.

However, my answer sheet is saying that it's the same matrix (i.e. T=S')

Now I'm really confused (I'm sorry if my post doesn't make complete sense). I've been looking at this for about 3 days now and it's driving me mad

Thanks
2. (Original post by cpdavis)
...
There is a good exposition of the whole process here, which might help.

He gets on to the transition matrix about half way down, with examples.

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