## Dual spaces and the Fenchel conjugate

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Dual spaces lie at the core of linear algebra and allows us to formally reason about the concept of duality in mathematics. Duality shows up naturally and elegantly in measure theory, functional analysis, and mathematical optimization. In this post, I have tried to learn and explore the nature of duality via Dual spaces, its interpretation in general linear algebra, all of which was motivated by the so called *convex conjugate*, or the *Fenchel conjugate* in mathematical optimization. ** Read more**