video1.0<iframe src="https://www.loom.com/embed/57176cfbf7164cc6bfe6529ca6ae6dc4" frameborder="0" width="1670" height="1252" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>12521670Loomhttps://www.loom.com12521670https://cdn.loom.com/sessions/thumbnails/57176cfbf7164cc6bfe6529ca6ae6dc4-e7f6c288d415e390.gif911.649In 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!