{"type":"video","version":"1.0","html":"<iframe src=\"https://www.loom.com/embed/57176cfbf7164cc6bfe6529ca6ae6dc4\" frameborder=\"0\" width=\"1670\" height=\"1252\" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>","height":1252,"width":1670,"provider_name":"Loom","provider_url":"https://www.loom.com","thumbnail_height":1252,"thumbnail_width":1670,"thumbnail_url":"https://cdn.loom.com/sessions/thumbnails/57176cfbf7164cc6bfe6529ca6ae6dc4-e7f6c288d415e390.gif","duration":911.649,"title":"Unconstrained optimization (ECON2125/6012 week 8) Part 2","description":"In this video, I dive into the concept of Hessian definiteness and its implications in optimization theory. I explain how the definiteness of the Hessian matrix relates to local maxima and minima, highlighting the necessary but not sufficient conditions. I also provide examples to illustrate these concepts, including cases of indeterminate outcomes. Please take a moment to review the examples and let me know if you have any questions!"}