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Intermediate Level
Approx. 7 hours to complete
English
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Intermediate Level
Approx. 7 hours to complete
English

### Offered by Week
1

## Week 1

1 hour to complete

## Matrices as Mathematical Objects

1 hour to complete
3 videos (Total 11 min), 2 readings, 3 quizzes
3 videos
Matrix Multiplication5m
Supplement: Matrices in Python/Numpy2m
Vector and Matrix operations30m
Matrix Multiplication10m
3 practice exercises
Matrix30m
Linear combinations
Matrix Combinations
Week
2

## Week 2

2 hours to complete

## Matrix Multiplication and other Operations

2 hours to complete
3 videos (Total 14 min), 2 readings, 3 quizzes
3 videos
Matrix Transpose5m
Supplement: Matrix Transpose in Python4m
Matrix Arithmetic10m
Matrix Transpose10m
3 practice exercises
Matrix Operations30m
Matrix Transpose30m
Matrix Multiplication and Other Operations
Week
3

## Week 3

1 hour to complete

## Systems of Linear Equations

1 hour to complete
4 videos (Total 15 min), 3 readings, 4 quizzes
4 videos
Solution of Linear Equations via Elimination2m
LU Decomposition: Matrix is a Product of Simple Matrices5m
Supplement: Solve Linear Equations in Python2m
Systems of Linear Equations10m
Gaussian Elimination Algorithm10m
LU Decomposition10m
4 practice exercises
Systems of Linear Equations
Solution of Linear Equations via Elimination
LU Decomposition
Systems of linear equations
Week
4

## Week 4

2 hours to complete

## Linear Least Squares

2 hours to complete
4 videos (Total 16 min), 2 readings, 5 quizzes
4 videos
Linear Least Squares: Best Approximation3m
Least Distance -> Orthogonality -> Normal Equations4m
Example: Approximate Curve Fitting4m
Orthogonality and the Inner Product10m
Linear Least Squares10m
5 practice exercises
Orthogonality and Inner Product
Linear Least Squares
Normal equations30m
Approximate Curve Fitting30m
Linear Least Squares