Essential Maths: Exploring Linear Algebra

Math    |    Beginner
  • 13 Videos | 1h 51m 14s
  • Includes Assessment
  • Earns a Badge
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 addition
    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

  • Playable
    1. 
    Course Overview
    1m 44s
    UP NEXT
  • Playable
    2. 
    An Overview of Linear Algebra
    9m 33s
  • Locked
    3. 
    Vectors with Different Notations
    11m 14s
  • Locked
    4. 
    Vector Operations
    10m 47s
  • Locked
    5. 
    Matrices and Matrix Operations
    11m 37s
  • Locked
    6. 
    Adding Matrices Element-wise
    9m 11s
  • Locked
    7. 
    Performing Matrix Multiplication
    7m 36s
  • Locked
    8. 
    Computing Determinants and Transposing Matrices
    9m 7s
  • Locked
    9. 
    Defining and Identifying Diagonal Matrices
    9m 16s
  • Locked
    10. 
    Computing the Inverse of a Matrix
    8m 9s
  • Locked
    11. 
    Using SciPy to Work with Matrices
    7m 10s
  • Locked
    12. 
    Understanding Properties of Matrices
    8m 46s
  • Locked
    13. 
    Course Summary
    1m 37s

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