Linear Algebra and Feature Selection

Build the fundamental and practical linear algebra skills needed to become a data scientist and work on machine learning models and AI

3 hours of content 4623 students

$99.00

Lifetime access

Buy now
14-Day Money-Back Guarantee

What you get:

  • 3 hours of content
  • 36 Interactive exercises
  • 7 Downloadable resources
  • World-class instructor
  • Closed captions
  • Q&A support
  • Future course updates
  • Course exam
  • Certificate of achievement

Linear Algebra and Feature Selection

$99.00

Lifetime access

Buy now
14-Day Money-Back Guarantee

What you get:

  • 3 hours of content
  • 36 Interactive exercises
  • 7 Downloadable resources
  • World-class instructor
  • Closed captions
  • Q&A support
  • Future course updates
  • Course exam
  • Certificate of achievement

$99.00

Lifetime access

Buy now

$99.00

Lifetime access

Buy now
14-Day Money-Back Guarantee

What you get:

  • 3 hours of content
  • 36 Interactive exercises
  • 7 Downloadable resources
  • World-class instructor
  • Closed captions
  • Q&A support
  • Future course updates
  • Course exam
  • Certificate of achievement

What You Learn

  • Understand the math behind machine learning models
  • Master key linear algebra concepts and theories for advanced mathematical applications
  • Perform Principal Component Analysis (PCA) and Dimensionality Reduction in Python to simplify complex datasets for better analysis
  • Learn to operate with eigenvalues and eigenvectors
  • Apply theoretical math knowledge into practice to solve real-world problems through quantitative analysis
  • Understand why linear algebra is useful

Top Choice of Leading Companies Worldwide

Industry leaders and professionals globally rely on this top-rated course to enhance their skills.

Course Description

Linear Algebra and Feature Selection is the course that provides you with the knowledge you need to grasp the math processes behind the machine learning algorithms for dimensionality reduction. Mastering the fundamentals of linear algebra will help you develop in-demand practical skills, such as building your own algorithms or choosing the most appropriate existing ones for a specific task you need to solve. The techniques you will learn - feature extraction and feature selection will enable you to handle high-dimensional data efficiently. In addition, you will get familiar with the mathematical concepts behind PCA and LDA, and practice applying these types of analysis using the corresponding Python libraries.

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What Does the Course Cover

1.1 What Does the Course Cover

4 min

Why Linear Algebra?

1.2 Why Linear Algebra?

4 min

Solving Quadratic Equations

1.3 Solving Quadratic Equations

1 min

Vectors

1.4 Vectors

5 min

Matrices

1.5 Matrices

4 min

The Transpose of Vectors and Matrices, the Identity Matrix

1.7 The Transpose of Vectors and Matrices, the Identity Matrix

4 min

Curriculum

  • 1. Linear Algebra Essentials
    15 Lessons 77 Min

    Here, we’ll cover the linear algebra concepts behind the machine learning algorithms for dimensionality reduction. We'll learn about vectors and matrices, linear equations, eigenvalues and eigenvectors, and more.

    What Does the Course Cover
    4 min
    Why Linear Algebra?
    4 min
    Solving Quadratic Equations Read now
    1 min
    Vectors
    5 min
    Matrices
    4 min
    The Transpose of Vectors and Matrices, the Identity Matrix
    4 min
    Linear Independence and Linear Span of Vectors
    7 min
    Basis of a Vector Space, Determinant of a Matrix, Inverse of a Matrix
    10 min
    Solving Equations of the Form A*x=b
    6 min
    The Gauss Method
    7 min
    Other Solutions to the Equation A*x=b
    8 min
    Determining Linear Independence of a Random Set of Vectors
    4 min
    Eigenvalues and Eigenvectors
    3 min
    Calculating Eigenvalues
    4 min
    Calculating Eigenvectors
    6 min
  • 2. Dimensionality Reduction Motivation
    2 Lessons 7 Min

    This section explains the intricacies of the dimensionality reduction process and clarifies why this technique is essential when working with large datasets.

    Feature Selection, Feature Extraction, and Dimensionality Reduction
    4 min
    The Curse of Dimensionality
    3 min
  • 3. Principal Component Analysis (PCA)
    4 Lessons 31 Min

    In this part of the course, we explore the Principal Component Analysis (PCA) - one of the most widely used algorithms for dimensionality reduction. We'll demonstrate a practical example combining both feature extraction and feature selection techniques to achieve the desired goal - reducing the number of dimensions in our dataset.

    Principal Component Analysis – Overview
    7 min
    A Step-by-Step Explanation of PCA on California Estates – Example
    12 min
    The Theory Behind PCA
    5 min
    PCA Covariance Matrix in Jupyter – Analysis and Interpretation
    7 min
  • 4. Linear Discriminant Analysis (LDA)
    11 Lessons 60 Min

    In this section, we'll cover another dimensionality reduction technique called Linear Discriminant Analysis (LDA). Here, we'll go through another practical example, showing the methodology behind LDA and its efficiency. We'll also make a comparison between this algorithm and PCA, introducing the advantages of both approaches.

    Overall Mean and Class Means
    3 min
    Linear Discriminant Analysis – Overview
    4 min
    LDA: Calculating Within- and Between-Class Scatter Matrices
    9 min
    A Step-by-Step Еxplanation of LDA on a Wine Quality Dataset – Example
    6 min
    Calculating the Within- and Between-Class Scatter Matrices
    4 min
    Calculating Eigenvectors and Eigenvalues for the LDA
    7 min
    Analysis of LDA
    3 min
    LDA vs. PCA
    5 min
    Setting Up the Classifier to Compare LDA and PCA
    5 min
    Coding the Classifier for LDA and PCA
    6 min
    Analysis of the Training and Testing Times for the Classifier and Its Accuracy
    8 min

Topics

PythonTheorydata analysismachine learningMathematics

Tools & Technologies

python
theory

Course Requirements

  • You need to complete an introduction to Python before taking this course
  • Basic skills in statistics, probability, and linear algebra are required
  • It is highly recommended to take the Machine Learning in Python course first

Who Should Take This Course?

Level of difficulty: Intermediate

  • People who want to improve their math for data science
  • Aspiring data analysts, data scientists, business analysts
  • Graduate students who need linear algebra and calculus for their studies

Exams and Certification

A 365 Data Science Course Certificate is an excellent addition to your LinkedIn profile—demonstrating your expertise and willingness to go the extra mile to accomplish your goals.

Exams and certification

Meet Your Instructor

Aleksandar Samsiev

Aleksandar Samsiev

Machine Learning Engineer at

1 Courses

354 Reviews

4623 Students

Aleksandar has a Bachelor's in Mathematics from the University of Bath (England), where he graduated with honors. He discovered a true passion in artificial intelligence, and believes that “a firm grasp of Linear Algebra is fundamental for understanding and developing concepts in the machine learning field”. In 2021, Aleksandar authored our Linear Algebra and Feature Selection course, while also contributing to the creation process of exam questions for the 365 Data Science Program. In his spare time, Aleksandar is an avid football supporter and a keen swimmer with 8 years of national-level competitive swimming under his belt.

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