Johns Hopkins University - Linear Algebra: Orthogonality and Diagonalization
- Offered byCoursera
- Public/Government Institute
Linear Algebra: Orthogonality and Diagonalization at Coursera Overview
Duration | 9 hours |
Total fee | Free |
Mode of learning | Online |
Official Website | Explore Free Course  |
Credential | Certificate |
- Overview
- Highlights
- Course Details
- Curriculum
Linear Algebra: Orthogonality and Diagonalization at Coursera Highlights
- Earn a certificate of completion
- Add to your LinkedIn profile
- 11 quizzes
Linear Algebra: Orthogonality and Diagonalization at Coursera Course details
- This is the third and final course in the Linear Algebra Specialization that focuses on the theory and computations that arise from working with orthogonal vectors
- This includes the study of orthogonal transformation, orthogonal bases, and orthogonal transformations
- The course culminates in the theory of symmetric matrices, linking the algebraic properties with their corresponding geometric equivalences
- These matrices arise more often in applications than any other class of matrices
- The theory, skills and techniques learned in this course have applications to AI and machine learning
- In these popular fields, often the driving engine behind the systems that are interpreting, training, and using external data is exactly the matrix analysis arising from the content in this course
Linear Algebra: Orthogonality and Diagonalization at Coursera Curriculum
Orthogonality
Inner Product, Length, and Orthogonality
Orthogonal Sets of Vectors Video
Distance and Angles between Vectors
Orthogonal Sets of Vectors
Distance and Angle Practice
Orthogonal Sets Practice
Orthogonality
Orthogonal Projections and Least Squares Problems
Orthogonal Projections
Gram-Schmidt Process
Least-Squares Problems
Orthogonal Projections
Finding Orthogonal Bases
Least-Squares Solutions
Orthogonal Projections Practice
Orthogonal Bases Practice
Least-Squares Solutions Practice
Orthogonal Projections and Least Squares
Symmetric Matrices and Quadratic Forms
Symmetric Matrices
Quadratic Forms
Symmetric Matrices
Quadratic Forms
Symmetric Matrices Practice
Quadratic Forms Practice
Symmetric Matrices and Quadratic Forms
Final Assessment
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