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John Hopkins University - Linear Algebra: Orthogonality and Diagonalization 

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Linear Algebra: Orthogonality and Diagonalization
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Coursera 
Overview

Duration

9 hours

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Total fee

Free

Mode of learning

Online

Official Website

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Credential

Certificate

Linear Algebra: Orthogonality and Diagonalization
 at 
Coursera 
Highlights

  • Earn a certificate of completion
  • Add to your LinkedIn profile
  • 11 quizzes
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Linear Algebra: Orthogonality and Diagonalization
 at 
Coursera 
Course details

More about this course
  • 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
Read more

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

Linear Algebra: Orthogonality and Diagonalization
 at 
Coursera 
Admission Process

    Important Dates

    May 25, 2024
    Course Commencement Date

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    Linear Algebra: Orthogonality and Diagonalization
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