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Udacity

Linear Algebra Essentials

via Udacity

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Overview

Learn the basics of the beautiful world of Linear Algebra and why it is such an important mathematical tool in the world of AI.

Syllabus

  • Introduction

    • Take a sneak peek into the beautiful world of Linear Algebra and learn why it is such an important mathematical tool.
  • Vectors

    • Learn about vectors, the basic building block of Linear Algebra.
  • Linear Combination

    • Learn how to scale and add vectors and how to visualize the process.
  • Linear Transformation and Matrices
    • What is a linear transformation and how is it directly related to matrices? Learn how to apply the math and visualize the concept.
  • Vectors Lab
    • Learn how to graph 2D vectors.
  • Linear Combination Lab
    • Learn how to computationally determine a vector's span and solve a simple system of equations.
  • Linear Mapping Lab
    • Learn how to solve some problems computationally using vectors and matrices.
  • Linear Algebra in Neural Networks
    • Take a peek into the world of Neural Networks and see how it related directly to Linear Algebra!

Taught by

Grant Sanderson, Ortal Arel and Jennifer Staab

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