Determinant Determinants are defined for square matrices and it is a function that maps the matrix into a real number.Determinants are important concepts in linear algebra.It is used in the analysis and solution of system of linear equations. Determinant of a matrix is represented as $det(A)$ or $|A|$. determinants are used for testing the invertibility. A square matrix $A \in \mathbb{R}^{n \times n}$ is invertable if and only if $det(A) \ne 0$ For a diagonal, upper triangular and lower triangular matrix, the determinant is the product of its diagonal element Determinant measures volume.If the two sides of the parallelogram is represented as a two columns of a matrix then the absolute value of the determinant represents volume.For a parallelepiped with three sides r,b,g then determinant of the 3x3 matrix $[ r b g ]$ is the volume of the solid. Laplace expansion can be used to find determinant.It reduces the problem of computing the determinant of $ n \times n$ matrix into comput...
This blog is written for the following two courses of KTU using python. CST284-Mathematics for Machine Learning-KTU Minor course and CST294-Computational Fundamentals for Machine Learning-KTU honors course. Queries can be send to Dr Binu V P. 9847390760