Mathematical Matrix Methods lie at the root of most methods of machine learning and data analysis of tabular data. Learn the basics of Matrix Methods, including matrix-matrix multiplication, solving linear equations, orthogonality, and best least squares approximation. Discover the Singular Value Decomposition that plays a fundamental role in dimensionality reduction, Principal Component Analysis, and noise reduction. Optional examples using Python are used to illustrate the concepts and allow the learner to experiment with the algorithms.
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Matrix Methods
Universidade de MinnesotaUniversidade de MinnesotaInformações sobre o curso
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Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Nível intermediário
Aprox. 7 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Russo, Inglês, Espanhol
oferecido por
Universidade de MinnesotaUniversidade de Minnesota
The University of Minnesota is among the largest public research universities in the country, offering undergraduate, graduate, and professional students a multitude of opportunities for study and research. Located at the heart of one of the nation’s most vibrant, diverse metropolitan communities, students on the campuses in Minneapolis and St. Paul benefit from extensive partnerships with world-renowned health centers, international corporations, government agencies, and arts, nonprofit, and public service organizations.
Programa - O que você aprenderá com este curso
1 hora para concluir
Matrices as Mathematical Objects
1 hora para concluir
3 vídeos (Total 11 mín.), 2 leituras, 3 testes
2 leituras
Vector and Matrix operations30min
Matrix Multiplication10min
3 exercícios práticos
Matrix30min
Linear combinations
Matrix Combinations
2 horas para concluir
Matrix Multiplication and other Operations
2 horas para concluir
3 vídeos (Total 14 mín.), 2 leituras, 3 testes
3 videos
Matrix Transpose5min
Supplement: Matrix Transpose in Python4min
2 leituras
Matrix Arithmetic10min
Matrix Transpose10min
3 exercícios práticos
Matrix Operations30min
Matrix Transpose30min
Matrix Multiplication and Other Operations
1 hora para concluir
Systems of Linear Equations
1 hora para concluir
4 vídeos (Total 15 mín.), 3 leituras, 4 testes
4 videos
Solution of Linear Equations via Elimination2min
LU Decomposition: Matrix is a Product of Simple Matrices5min
Supplement: Solve Linear Equations in Python2min
3 leituras
Systems of Linear Equations10min
Gaussian Elimination Algorithm10min
LU Decomposition10min
4 exercícios práticos
Systems of Linear Equations
Solution of Linear Equations via Elimination
LU Decomposition
Systems of linear equations
2 horas para concluir
Linear Least Squares
2 horas para concluir
4 vídeos (Total 16 mín.), 2 leituras, 5 testes
4 videos
Linear Least Squares: Best Approximation3min
Least Distance -> Orthogonality -> Normal Equations4min
Example: Approximate Curve Fitting4min
2 leituras
Orthogonality and the Inner Product10min
Linear Least Squares10min
5 exercícios práticos
Orthogonality and Inner Product
Linear Least Squares
Normal equations30min
Approximate Curve Fitting30min
Linear Least Squares
Avaliações
Principais avaliações do MATRIX METHODS
por TT17 de Mai de 2020
This Course content is very good and has good real-time examples. However, the Instructor should add a few videos on SVD, Maximum dilation, and Shrinkage and Direction of Maximum Dilation.
por DB17 de Nov de 2019
Pros and cons. Sometimes it's hard to find in this course needed information to solve Assignments.\n\nBut you have to dig deeper from outside sources.
por MP16 de Ago de 2020
Thank you so much for giving me this opportunity to learn about matrix methods. This is helpful for my career and it is useful to all the beginners.
por M20 de Abr de 2020
Its a very good experience for me and it helps me to learn new topics and known new matters. Thank You Coursera.
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