Determinants and Matrices : The Foundation of Linear Algebra

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

Requirements
Fundamental of Maths
Knowledge of Basic Arithmetics
Knowledge of Calculus
Description
Determinants and Matrices 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 70+ lecture course includes video explanations of everything from Fundamental of Determinats and Matrices, and it includes more than 60+ examples (with detailed solutions) to help you test your understanding along the way.

Determinants and Matrices : 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

Introduction To Matrices

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

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.