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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지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.
유동적 마감일
일정에 따라 마감일을 재설정합니다.
중급 단계
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강의 계획 - 이 강좌에서 배울 내용
완료하는 데 1시간 필요
Matrices as Mathematical Objects
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3개 동영상 (총 11분), 2 개의 읽기 자료, 3 개의 테스트
2개의 읽기 자료
Vector and Matrix operations30m
Matrix Multiplication10m
3개 연습문제
Matrix8m
Linear combinations
Matrix Combinations
완료하는 데 1시간 필요
Matrix Multiplication and other Operations
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3개 동영상 (총 14분), 2 개의 읽기 자료, 3 개의 테스트
2개의 읽기 자료
Matrix Arithmetic10m
Matrix Transpose10m
3개 연습문제
Matrix Operations4m
Matrix Transpose4m
Matrix Multiplication and Other Operations
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Systems of Linear Equations
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4개 동영상 (총 15분), 3 개의 읽기 자료, 4 개의 테스트
4개의 동영상
Solution of Linear Equations via Elimination2m
LU Decomposition: Matrix is a Product of Simple Matrices5m
Supplement: Solve Linear Equations in Python2m
3개의 읽기 자료
Systems of Linear Equations10m
Gaussian Elimination Algorithm10m
LU Decomposition10m
4개 연습문제
Systems of Linear Equations
Solution of Linear Equations via Elimination
LU Decomposition
Systems of linear equations
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Linear Least Squares
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4개 동영상 (총 16분), 2 개의 읽기 자료, 5 개의 테스트
4개의 동영상
Linear Least Squares: Best Approximation3m
Least Distance -> Orthogonality -> Normal Equations4m
Example: Approximate Curve Fitting4m
2개의 읽기 자료
Orthogonality and the Inner Product10m
Linear Least Squares10m
5개 연습문제
Orthogonality and Inner Product
Linear Least Squares
Normal equations4m
Approximate Curve Fitting4m
Linear Least Squares
검토
MATRIX METHODS의 최상위 리뷰
TT 제공2020년 5월 17일
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.
DB 제공2019년 11월 17일
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.
M 제공2020년 4월 20일
Its a very good experience for me and it helps me to learn new topics and known new matters. Thank You Coursera.
YI 제공2020년 6월 21일
IN assignment 1 please check the question and choices . all the assignments and tutorial are excellent
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