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    • PS Reviewer
    • Thread Starter

    PS Reviewer
    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:


    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 :sad:

    • Study Helper

    Study Helper
    (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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Updated: January 1, 2013
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