Linear Algebra: Orthogonality and Diagonalization
This course is part of Linear Algebra from Elementary to Advanced.
Course Cost
Free course
Intermediate
Skill Level
8 Hours
Self-paced lessons
This course cannot be purchased separately - to access the complete learning experience, graded assignments, and earn certificates, you'll need to enroll in the full Linear Algebra from Elementary to Advanced Specialization program. You can audit this specific course for free to explore the content, which includes access to course materials and lectures. This allows you to learn at your own pace without any financial commitment.
What you'll learn
Master orthogonal vector operations and dot products
Understand orthogonal projections and transformations
Apply the Gram-Schmidt process
Analyze symmetric matrices and their properties
Solve least-squares problems
Skills you'll gain
This course includes:
2.6 Hours PreRecorded video
11 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
Shareable certificate

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There are 4 modules in this course
This comprehensive course focuses on advanced linear algebra concepts, particularly orthogonality and diagonalization. Students learn about orthogonal vectors, transformations, and symmetric matrices, with applications to AI and machine learning. The curriculum covers dot products, orthogonal projections, the Gram-Schmidt process, and quadratic forms. Special emphasis is placed on symmetric matrices and their eigenspaces, which are crucial for data science applications.
Orthogonality
Module 1 · 2 Hours to complete
Orthogonal Projections and Least Squares Problems
Module 2 · 3 Hours to complete
Symmetric Matrices and Quadratic Forms
Module 3 · 2 Hours to complete
Final Assessment
Module 4 · 0 Hours to complete
Fee Structure
Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: Linear Algebra from Elementary to Advanced
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Faculties
These are the expert instructors who will be teaching you throughout the course. With a wealth of knowledge and real-world experience, they're here to guide, inspire, and support you every step of the way. Get to know the people who will help you reach your learning goals and make the most of your journey.
Frequently asked Questions
Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.




