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Determinants : The Foundation of Linear Algebra
2,693 students
Determinants : The Foundation of Linear Algebra
Fundamental Course in Linear Algebra for Machine Learning, Data Science, Computer Science and Electrical Engineering
Created byShilank Singh
Last updated 3/2025
English
What you'll learn
- Determinants Definition
- Minors and Cofactors
- Determinants Expansion
- Properties of Determinants
- Multiplication of Determinants
- Differentiation and Integration of Determinants
- Matrices Definition
- Types of Matrices
- Difference between a Matrix and a Determinant
- Operations on Matrices
- Various Kinds Of Matrices
- Adjoint of a Square Matrix
- Elementary Row and Column Transformation
- Inverse of a Matrix
- Echelon Form, Normal Form and Rank of a Matrix
- Solution of Simultaneous Linear Equations
- Reflection and Rotation of a Matrix
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Course content
5 sections • 22 lectures • 2h 35m total length
Requirements
- Fundamental of Maths
- Knowledge of Basic Arithmetics
- Knowledge of Calculus
Description
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 Determinants
Determinants Expansion
Properties of Determinants
Multiplication of Determinants
Differentiation and Integration of Determinants
Who this course is for:
- Current Linear Algebra students, or students about to start Linear Algebra who are looking to get ahead
- Students of Machine Learning, Data Science, Computer Science, Electrical Engineering , as Linear Algebra is the prerequisite course to Machine Learning, Data Science, Computer Science and Electrical Engineering
- Anyone who wants to study Determinants and Matrices for fun after being away from school for a while.