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Beginner Level
Approx. 19 hours to complete
English

### Skills you will gain

Eigenvalues And EigenvectorsBasis (Linear Algebra)Transformation MatrixLinear Algebra

## 29%

started a new career after completing these courses

## 29%

got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Beginner Level
Approx. 19 hours to complete
English

## Syllabus - What you will learn from this course

Content Rating92%(33,713 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