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## 35%

started a new career after completing these courses

## 34%

got a tangible career benefit from this course

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 23 hours to complete

Suggested: 5 weeks of study, 2-5 hours/week...

#### English

Subtitles: English

### Skills you will gain

Eigenvalues And EigenvectorsBasis (Linear Algebra)Transformation MatrixLinear Algebra

## 35%

started a new career after completing these courses

## 34%

got a tangible career benefit from this course

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 23 hours to complete

Suggested: 5 weeks of study, 2-5 hours/week...

#### English

Subtitles: English

## Syllabus - What you will learn from this course

Content Rating91%(19,429 ratings)
Week
1

## Week 1

2 hours to complete

## Introduction to Linear Algebra and to Mathematics for Machine Learning

2 hours to complete
5 videos (Total 28 min), 4 readings, 3 quizzes
5 videos
Motivations for linear algebra3m
Getting a handle on vectors9m
Operations with vectors11m
Summary1m
About Imperial College & the team5m
How to be successful in this course5m
3 practice exercises
Exploring parameter space20m
Solving some simultaneous equations15m
Doing some vector operations30m
Week
2

## Week 2

2 hours to complete

## Vectors are objects that move around space

2 hours to complete
8 videos (Total 44 min)
8 videos
Modulus & inner product10m
Cosine & dot product5m
Projection6m
Changing basis11m
Basis, vector space, and linear independence4m
Applications of changing basis3m
Summary1m
4 practice exercises
Dot product of vectors15m
Changing basis15m
Linear dependency of a set of vectors15m
Vector operations assessment15m
Week
3

## Week 3

3 hours to complete

## Matrices in Linear Algebra: Objects that operate on Vectors

3 hours to complete
8 videos (Total 57 min)
8 videos
How matrices transform space5m
Types of matrix transformation8m
Composition or combination of matrix transformations8m
Solving the apples and bananas problem: Gaussian elimination8m
Going from Gaussian elimination to finding the inverse matrix8m
Determinants and inverses10m
Summary59s
2 practice exercises
Using matrices to make transformations30m
Solving linear equations using the inverse matrix30m
Week
4

## Week 4

7 hours to complete

## Matrices make linear mappings

7 hours to complete
6 videos (Total 53 min)
6 videos
Matrices changing basis11m
Doing a transformation in a changed basis4m
Orthogonal matrices6m
The Gram–Schmidt process6m
Example: Reflecting in a plane14m
2 practice exercises
Non-square matrix multiplication20m
Example: Using non-square matrices to do a projection30m

## About the Mathematics for Machine Learning Specialization

For a lot of higher level courses in Machine Learning and Data Science, you find you need to freshen up on the basics in mathematics - stuff you may have studied before in school or university, but which was taught in another context, or not very intuitively, such that you struggle to relate it to how it’s used in Computer Science. This specialization aims to bridge that gap, getting you up to speed in the underlying mathematics, building an intuitive understanding, and relating it to Machine Learning and Data Science. In the first course on Linear Algebra we look at what linear algebra is and how it relates to data. Then we look through what vectors and matrices are and how to work with them. The second course, Multivariate Calculus, builds on this to look at how to optimize fitting functions to get good fits to data. It starts from introductory calculus and then uses the matrices and vectors from the first course to look at data fitting. The third course, Dimensionality Reduction with Principal Component Analysis, uses the mathematics from the first two courses to compress high-dimensional data. This course is of intermediate difficulty and will require Python and numpy knowledge. At the end of this specialization you will have gained the prerequisite mathematical knowledge to continue your journey and take more advanced courses in machine learning....