“I wouldn’t be where I was without Dataquest. Be confident in what you learn with Dataquest. If you take the time to learn, you will be one of the few people in the world that can do what you do.”

#### Vicknesh Mano

Data Science Manager @Accenture

## Course overview

Linear Algebra is a key branch of mathematics that is concerned with vectors, matrices, planes, and lines, and it helps to build blocks of machine learning algorithms.

In this course, you’ll learn how to define linear systems using linear algebra, how to represent a problem as a linear system, and how to solve linear systems by elimination.

You’ll learn how to define vectors using geometry, as well as how to perform vector operations and identify the link between linear combinations and solutions to linear systems. You’ll also learn how to perform matrix operations in NumPy, how to define the matrix inverse and transpose, and how to solve the matrix inverse in higher dimensions.

Finally, you’ll learn to identify the different solution sets to linear systems and define homogeneous and nonhomogeneous systems.

Best of all, you’ll learn by doing — you’ll practice and get feedback directly in the browser.

## Key skills

• Defining linear systems using linear algebra
• Employing intermediate machine learning techniques

## Course outline

### Linear Systems 1h

Lesson Objectives
• Represent a problem as a linear system
• Solve linear systems by elimination

### Vectors 1h

Lesson Objectives
• Define vectors using geometry
• Perform vector operations
• Identify the link between linear combinations and solutions to linear systems

### Matrix Algebra 1h

Lesson Objectives
• Perform matrix operations in NumPy
• Define the matrix inverse and transpose
• Solve the matrix inverse in higher dimensions

### Solution Sets 1h

Lesson Objectives
• Identify the different solution sets to linear systems
• Define homogenous and nonhomogenous systems

## The Dataquest guarantee

Dataquest has helped thousands of people start new careers in data. If you put in the work and follow our path, you’ll master data skills and grow your career.

We believe so strongly in our paths that we offer a full satisfaction guarantee. If you complete a career path on Dataquest and aren’t satisfied with your outcome, we’ll give you a refund.

## Master skills faster with Dataquest

### Go from zero to job-ready

Learn exactly what you need to achieve your goal. Don’t waste time on unrelated lessons.

### Build your project portfolio

Build confidence with our in-depth projects, and show off your data skills.

### Challenge yourself with exercises

Work with real data from day one with interactive lessons and hands-on exercises.

### Showcase your path certification

Share the evidence of your hard work with your network and potential employers.

## Grow your career withDataquest.

98%
of learners recommend
Dataquest for career advancement
4.85
Dataquest rating
SwitchUp Best Bootcamps
\$30k
Average salary boost
for learners who complete a path

### Aaron Melton

#### Business Analyst at Aditi Consulting

“Dataquest starts at the most basic level, so a beginner can understand the concepts. I tried learning to code before, using Codecademy and Coursera. I struggled because I had no background in coding, and I was spending a lot of time Googling. Dataquest helped me actually learn.”

### Jessica Ko

#### Machine Learning Engineer at Twitter

“I liked the interactive environment on Dataquest. The material was clear and well organized. I spent more time practicing then watching videos and it made me want to keep learning.”

### Victoria E. Guzik

#### Associate Data Scientist at Callisto Media

“I really love learning on Dataquest. I looked into a couple of other options and I found that they were much too handhold-y and fill in the blank relative to Dataquest’s method. The projects on Dataquest were key to getting my job. I doubled my income!”

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