ST9 - 12 - Square root of positive definite matrice

Discussion in 'SP9' started by yanyan, Mar 8, 2012.

  1. yanyan

    yanyan Member

    Hi,

    Referring to ST9 - 12 - Page 31 - the example of Cholesky decomposition,

    how the square root of the correlation matrix be derived? matrix of (1, 0, rho, sqrt(1-rho^2)

    maybe it is a matrix algebra question, i cudn't recall how it cud be calculated.

    Any notes/info is helpful thanks!

    Yan Yan
     
  2. Simon James

    Simon James ActEd Tutor Staff Member

    Hi. If you create a 2x2 lower triangular matrix C with dummy variables and then equate the product CC' to the correlation matrix, you should be able to get the result with a bit of algebra. A hint is attached for you...!
     

    Attached Files:

    vidhya36 likes this.

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