Is there a wrong computation of KL in the blog post example between KL[Q(z|X) || P(z)]?

In your blog post you have

Shouldn't that be

I think in your formulation tr(Σ(Χ)) should be tr(Σ^(-1)(Χ)) μ(Χ)^(Τ) μ(Χ) should be μ(Χ)^(Τ) Σ^(-1)(Χ) μ(Χ) -log(det(Σ(Χ))) should be +log(det(Σ(Χ)))