Determinants: The Foundation of Linear Algebra

Determinants is the introductory course of Linear Algebra as it covers all the essentials for the study of Linear Algebra. This course is vital for any student wishing to pursue a degree in Science or Engineering. This 20+ lecture course includes video explanations of everything from Fundamental of Determinats, and it includes more than 20+ examples (with detailed solutions) to help you test your understanding along the way.

Determinants are the scalar quantities obtained by the sum of products of the elements of a square matrix and their cofactors according to a prescribed rule. They help to find the adjoint, inverse of a matrix. Further to solve the linear equations through the matrix inversion method we need to apply this concept.

The cross-product of two vectors is remembered easily through the calculation of determinants. In this course, let's learn more about the process of finding determinants of different orders and their properties, and we will work on a few solved examples. Determinants are considered as a scaling factor of matrices.

They can be considered as functions of stretching out and the shrinking in of the matrices. Determinants take a square matrix as the input and return a single number as its output. Determinants: The Foundation of Linear Algebra is organized into the following sections: Introduction to DeterminantsDeterminants ExpansionProperties of DeterminantsMultiplication of DeterminantsDifferentiation and Integration of Determinants.