Positive definite matrix and its proof method

Advanced algebra is a required course of undergraduate mathematics, which plays a fundamental role in completing the study of other professional courses for students. Matrix theory is an important branch of mathematics, it is not only a basic subject, but also themost practical value. Widely used in mathematical theory, matrix is an important basic concept in matrix theory, is a major study of algebra, Positive definite matrix is a kind of important matrix, occupies an important position in "higher algebra", its theory has rich content, positive definite quadratic form and Euclidean space, physics, probability and optimization control theory are related to it.