- #1
MathematicalPhysicist
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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.
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 haven't seucceded in getting V=L^t.
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 haven't seucceded in getting V=L^t.