# Essential Maths: Exploring Linear Algebra

Math    |    Beginner
• 13 Videos | 1h 45m 44s
• Includes Assessment
Linear algebra comes in handy when we need to work with a set of points represented in multi-dimensional space. Use this course to explore how systems of linear functions and equations can be represented using linear algebra. Examine how to define and compute the addition, scalar multiplication, dot product, and cross product operations on vectors, and discover how these operations are required while working with matrices. This course will also help you explore matrix multiplication, the inverse and transpose of a matrix, and computing the determinant of a matrix. By the time you finish this course, you will be able to express a system of linear functions as a matrix and perform fundamental operations on matrices, including matrix multiplication and the computation of inverses and determinants.

## WHAT YOU WILL LEARN

• discover the key concepts covered in this course identify use-cases for linear algebra represent vectors in alternative notations define and perform scaling, dot product, and cross product operations on vectors create a matrix and perform matrix operations  perform matrix multiplication
• compute determinants and transpose matrices identify and work with diagonal and zero matrices compute the inverse of an invertible matrix create matrices using SciPy recognize properties of matrices summarize the key concepts covered in this course

## IN THIS COURSE

• 1.
Course Overview
• 2.
An Overview of Linear Algebra
• 3.
Vectors with Different Notations
• 4.
Vector Operations
• 5.
Matrices and Matrix Operations
• 6.
• 7.
Performing Matrix Multiplication
• 8.
Computing Determinants and Transposing Matrices
• 9.
Defining and Identifying Diagonal Matrices
• 10.
Computing the Inverse of a Matrix
• 11.
Using SciPy to Work with Matrices
• 12.
Understanding Properties of Matrices
• 13.
Course Summary

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