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anonymous

  • 5 years ago

change of bases... I honestly don't know what's going on

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  1. anonymous
    • 5 years ago
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    linear algebr, be more specific.

  2. anonymous
    • 5 years ago
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    like, given two bases how do you find the change-of-bases matrix to change between them

  3. anonymous
    • 5 years ago
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    that would be the transition matrix from b to b'.

  4. anonymous
    • 5 years ago
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    nomenclature aside, how is it found?

  5. anonymous
    • 5 years ago
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    you're given two bases? what are they?

  6. anonymous
    • 5 years ago
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    it depends, i just need to know the general procedure

  7. anonymous
    • 5 years ago
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    let b = {v1,v2,...vn} and b' = {u1,u2,...un} be two bases for R^n. Then the transistion matrix from b to b' can be found by using Gauss-Jordan elemination on the n x 2n matrix [b':b]...

  8. anonymous
    • 5 years ago
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    perfect thanks bruh

  9. anonymous
    • 5 years ago
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    [b':b] ---> [I;p^-1]

  10. anonymous
    • 5 years ago
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    rref your augmented matrix b:b' and it gives you the identity matrix augmented with your transistion matrix (p^-1=transition matrix).

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spraguer (Moderator)
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