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Fundamental Linear Algebra Concepts with Python
  • Level Foundation
  • Duration 11 hours
  • Course by Howard University
  • Offered by

About

In this course, you'll be introduced to finding inverses and matrix algebra using Python. You will also practice using row reduction to solve linear equations as well as practice how to define linear transformations. Let's get started!

Modules

Introduction to Specialization and course

    • 3 Videos
    • 1 Readings
    • 1 Discussion
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1 Discussions

  • Meet and Greet Forum

3 Videos

  • Specialization Introduction
  • Course Introduction
  • Instrutor Introduction

1 Readings

  • Welcome to Fundamentals of Linear Algebra and Data Science Concepts with Python

Determinants

    • 3 Videos
    • 1 Assignment
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1 Assignment

  • Finding Determinants

3 Videos

  • Review of Linear Equations
  • Determinants
  • Find the Determinant of Any Matrix Using Python

Inverses

    • 2 Videos
    • 2 Assignment
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2 Assignment

  • Find the Inverse
  • Finding Inverses

2 Videos

  • Inverse of a 2 x 2 Matrix
  • Inverses of a 3 x 3 Matrix

Introduction to Matrix Algebra with Python

    • 5 Videos
    • 1 Discussion
    • 2 Assignment
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2 Assignment

  • Matrix Algebra Functions Using Python
  • Matrix Algebra Using Python

1 Discussions

  • Using Python to Perform Matrix Algebra

5 Videos

  • Review of Matrix Arithmetic
  • Review Matrix Algebra in Python
  • Using Python to Find the Transpose of a Matrix
  • Using Python to Find the Inverse of a Matrix
  • Using Matrix Algebra in Python

Solving Systems of Linear Equations Using Row Reduction

    • 3 Videos
    • 1 Assignment
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1 Assignment

  • Using Row Reduction to Solve Linear Equations

3 Videos

  • Row Reduction (Infinitely Many Solutions)
  • Row Reduction (No Solutions)
  • Finding Inverses of a Higher Dimension Matrices

Solving Systems of Linear Equations

    • 2 Videos
    • 1 Discussion
    • 2 Assignment
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2 Assignment

  • Using the Inverse and Cramer's Rule
  • Solving Systems of Linear Equations

1 Discussions

  • Solving Systems of Linear Equations

2 Videos

  • Solving Systems Using the Inverse
  • Cramer's Rule

Define Linear Transformation

    • 3 Videos
    • 1 Assignment
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1 Assignment

  • Linear Transformations

3 Videos

  • Linear Transformations
  • Examples of Linear Transformations
  • Matrix Representations of Transformations

Find Eigenvalues and Eigenvectors

    • 6 Videos
    • 1 Assignment
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1 Assignment

  • Diagonalization of a Matrix Using Python

6 Videos

  • Eigenvalues
  • Finding Eigenvalues
  • Eigenspace
  • Diagonalizable Matrix
  • Diagonalizable Matrices II
  • Diagonalization of a Matrix Using Python

Solving Applications

    • 2 Videos
    • 1 Discussion
    • 1 PeerReview
    • 1 Assignment
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1 Assignment

  • Eigenvalues and Eigenvectors

1 Peer Review

  • Eigenvalues and Eigenvectors

1 Discussions

  • Analyzing Real-World Examples: Eigenvalues and Eigenvectors

2 Videos

  • Real World Examples
  • More Real World Examples - PCA Step by Step

Auto Summary

Explore fundamental linear algebra concepts with Python in this Coursera course. Learn matrix algebra, row reduction, and linear transformations. Ideal for IT & Computer Science enthusiasts, this foundational course offers flexible learning with Starter and Professional subscriptions over a 660-minute duration. Perfect for beginners seeking practical skills.

Dennis Davenport
Instructors

Dennis Davenport

MOUSSA DOUMBIA
Instructors

MOUSSA DOUMBIA