The Cholesky decomposition and LU (Lower-Upper) decomposition are both techniques used to factorize a matrix into the product of two other matrices. These methods are often employed for solving linear systems and other numerical computations. Cholesky Decomposition: Cholesky decomposition is a specialized form of matrix decomposition used for symmetric, positive definite matrices. For a symmetric positive definite matrix A, the Cholesky decomposition expresses it as the product of a lower triangular matrix L and its transpose. --------------------------------------------------------------------------------------------------------------------- Welcome guys ✌ For any queries DM 👇 / mathspedia_by_abhi SUBSCRIBE 👇 https://www.youtube.com/c/MATHSPEDIAa... 🔊IF YOU UNDERSTOOD THE CONCEPT DO GIVE ONE LIKE👍 🔊IF YOU HAVE ANY CLARIFICATION ABOUT THE CONCEPT PLEASE DO COMMENT💬 🔊IF YOU WANT MORE VIDEOS IN FUTURE DO SUBSCRIBE🙏 🔊IF YOU ARE FED UP WITH THE NOTIFICATION ALERT NO NEED TO PRESS 🔔 OR OTHERWISE DO PRESS 🔔 AND ONE MORE THING THANKS FOR WATCHING VIDEO🙏 -------------------------------------------------------------------------------------------------------------------------- #mathspedia #ludecomposition #cholesky #crout #engineeringmathematics