Offered By

Linear Algebra Basics

Indian Institute of Technology Roorkee

About this Course

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Machine learning and data science are the most popular topics of research nowadays. They are applied in all the areas of engineering and sciences. Various machine learning tools provide a data-driven solution to various real-life problems. Basic knowledge of linear algebra is necessary to develop new algorithms for machine learning and data science. In this course, you will learn about the mathematical concepts related to linear algebra, which include vector spaces, subspaces, linear span, basis, and dimension. It also covers linear transformation, rank and nullity of a linear transformation, eigenvalues, eigenvectors, and diagonalization of matrices. The concepts of singular value decomposition, inner product space, and norm of vectors and matrices further enrich the course contents.

Flexible deadlines

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Shareable Certificate

Earn a Certificate upon completion

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Coursera Labs

Includes hands on learning projects.

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Intermediate Level

Approx. 21 hours to complete

English

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What you will learn

Describe the vector spaces, vector subspaces, basis, and dimension of a vector space.
Explain the linear transformations defined on vector spaces and eigenvalues and eigenvector of a matrix, symmetric and skew-symmetric matrices.
Explain diagonalizable matrices, their applications and the inner product, and the norm of vectors and matrices.

Skills you will gain

Data Science
Machine Learning
Mathematics
Linear Algebra
Machine Learning (ML) Algorithms

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Coursera Labs

Includes hands on learning projects.

Learn more about Coursera Labs

Intermediate Level

Approx. 21 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Dr. S. K. Gupta

Associate Professor

Mathematics

253 Learners

1 Course

Offered by

Indian Institute of Technology Roorkee

Indian Institute of Technology Roorkee is among the foremost of institutes of national importance in higher technological education and in engineering, basic and applied research. More than 170 years old, IIT Roorkee ranks amongst the best technological institutions in the world and has contributed to all sectors of technological development. It has also been considered a trend-setter in the area of education and research in the field of science, technology, and engineering.

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Syllabus - What you will learn from this course

Week1

Week 1

20 minutes to complete

Getting Started with the Course

20 minutes to complete

1 reading

Week2

Week 2

3 hours to complete

Vector Space

3 hours to complete

6 videos (Total 54 min), 2 readings, 2 quizzes

Week3

Week 3

5 hours to complete

Linear Transformations and Eigenvalues

5 hours to complete

6 videos (Total 44 min), 5 readings, 2 quizzes

6 videos

Basis and Dimension of a Vector Space9mLinear Transformations6mNull Space of a Linear Transformation6mRange Space of a Linear Transformation7mMatrix Associated with a Linear Transformation6mEigenvalues of a Matrix7m

5 readings

Essential Reading: Basis and Dimension of a Vector Space30mEssential Reading: Linear Transformations20mRecommended Reading: Linear Transformations20mEssential Reading: Eigenvalues of a Matrix40mLive Session 11h

2 practice exercises

Practice Quiz: Week 21hGraded Quiz: Week 240m

Week4

Week 4

4 hours to complete

Diagonalizable Matrices and Their Applications

4 hours to complete

6 videos (Total 52 min), 3 readings, 2 quizzes

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

More questions? Visit the Learner Help Center.

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Linear Algebra Basics

Linear Algebra Basics

About this Course

What you will learn

Skills you will gain