A Primer on Linear Algebra for Data Science Shaina Race, PhD

This primer is meant to instill a working knowledge of matrix terminology, arithmetic, and basic operations. The purpose is to lay the groundwork for advanced data mining techniques like Principal Component Analysis, Singular Value Decomposition, Factor Analysis, Multidimensional Scaling, Correspondence Analysis, Network Analysis, Support Vector Machines and many more. In order to fully comprehend these important tools and techniques, we need to understand the language in which they are presented: Linear Algebra. This is NOT a rigorous proof-based mathematics course. It is a surface level introduction to the most important definitions and concepts that we will need in order to tackle the more advanced material.



How to take this course: If you have some previous training in Linear Algebra, you are encouraged to attempt the worksheets associated with each tutorial prior to watching the tutorial. If you can confidently answer every question on the worksheet (and you are comfortable discussing the Key Terms), then you are not required to watch the associated tutorial!

Topic Tutorial Slides Worksheet List of Key Terms
Introduction to LA Notation and Terminology
Part 1
(Chapter 1)		 Tutorial 1 (mp4)
Chapter 1 Worksheet 1
Solution
Introduction to LA Notation and Terminology
Part 2
(Chapter 1)		 Tutorial 2 (mp4)
Chapter 1 Worksheet 2
Solution		 Chapter 1
Matrix Arithmetic
Part 1
(Chapter 2)		 Tutorial 3 (mp4)
Chapter 2 Worksheet 3
Solution
Matrix Arithmetic
Part 2
(Chapter 2)		 Tutorial 4 (mp4)
Chapter 2 Worksheet 4
Solution

Challenge Problem and Hints 		Chapter 2
TAKE QUIZ 1 - (coming soon)
Applications of Matrix Multiplication
(Chapter 3)		 Tutorial 5 (mp4)
Chapter 3 Worksheet 5
Solution
Solving Systems of Equations
Part 1
(Chapter 4)		 Tutorial 6 (mp4)
Chapter 4 Worksheet 6
Solution
Solving Systems of Equations
Part 2
(Chapter 4)		 Tutorial 7 (mp4)
Chapter 4 Worksheet 7
Solution
Solving Systems of Equations
Part 3
(Chapter 4)		 Tutorial 8 (mp4)
Chapter 4 Worksheet 8
Solution
Row-Reduction Using Software
(Optional) 		PDF Tutorial
Solving Systems of Equations
Part 4
(Chapter 4)		 Tutorial 9 (mp4)
Chapter 4 Worksheet 9
Solution		 Chapter 4
Solving Systems of Equations
Optional: Additional Examples
(Chapter 4)		 Tutorial 10 (mp4)
Chapter 4 None
TAKE QUIZ 2 - (coming soon)
Least Squares Solutions
(Chapter 5)		 Tutorial 11 (mp4)
Chapter 5 Worksheet 11
Solution		 Chapter 5
Rank and Linear Independence
(Chapter 6)		 Tutorial 12 (mp4)
Chapter 6 Worksheet 12
Solution		 Chapter 6
More Properties of Matrix Arithmetic
(Chapter 2)		 Tutorial 13 (mp4)
Chapter 2.5 Worksheet 13
Solution		 Chapter 2.5
Partitioned Matrix Multiplication
(Chapter 2)		 Tutorial 14 (mp4)
 Chapter 2.5 Worksheet 14
Solution		 Chapter 2.5
Norms and Distance Measures
(Chapter 7)		 Tutorial 15 (mp4)
 Chapter 7 Worksheet 15
Solution		 Chapter 7
TAKE QUIZ 3 - (coming soon)
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Review Packet For Final Assessment
Solutions to Review Packet
TAKE LINEAR ALGEBRA PRIMER FINAL ASSESSMENT

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