i need to prove that if A is symmetric and invertible (i.e A^-1 exists), and A=LDV, when L is lower triangular matrix with ones on it's diagonal and V is an upper triangualr matrix also with ones on the diagonal and D is a diagonal matrix then V=L^t.(adsbygoogle = window.adsbygoogle || []).push({});

what i did is:

i know that V^t is an LTM and L^t is an UTM, and that D=D^t, but from i havent seucceded in getting V=L^t.

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# An LDV decomposition of a matrix.

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