This isn't really homework, but close enough. I suppose this is quite simple, but my head's all tangled up for today. Anyways,(adsbygoogle = window.adsbygoogle || []).push({});

Given the real symmetric matrix

L^{T}L = UDU^{T}, find L.

I suppose L = +- D^{1/2}U^{T}, and it's clear this choice of L satisfies the given equation.

But can it be proven that the above L actually follows from the given equation? i.e.

L^{T}L = UDU^{T}= (D^{1/2}U^{T})^{T}(D^{1/2}U^{T}) <=> L = +- D^{1/2}U^{T}?

Am I making any sense?

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# Homework Help: A short one on symmetric matrices

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