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Change of basis

  1. Nov 4, 2012 #1

    I am doing calculation on change of basis vector.

    But I am unable to understand why we do it. I mean to say what is the use of it and where in physics or maths it is used.

    Can anybody please explain it?
  2. jcsd
  3. Nov 4, 2012 #2


    Staff: Mentor

    Changing the basis has several applications, including the diagonalization of matrices, which can be used to solve systems of linear differential equations.
  4. Nov 5, 2012 #3
    It's also used very frequently in statistics; given a high dimensional data set, we can construct a new basis set so that most of the variability in the data lies within a few dimensions, allowing us to reduce the dimension of the data without substantially reducing its information content.
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