Linear Algebra
Fundamentals of matrix and vector operations in Python.
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Getting started with Anaconda Notebooks
Course Overview and Learning Objectives
What is a Vector?
Declaring a Vector in NumPy
Adding and Scaling Vectors
Exercise: Combine the Vectors
What is a Matrix?
i-hat and j-hat
Matrix Vector Multiplication
Types of Linear Transformations
Exercise: Execute the Transformation
Vectors in Higher Dimensions
Transformations in Higher Dimensions
Tensors and Higher Dimensional Data
Exercise: Transforming High-Dimensional Vectors
The Determinant
Linear Dependence
Special Case Matrices
Exercise: Is This Matrix Linear Dependent?
Combining Transformations
Inverse Matrices
Understanding the Dot Product
Exercise: Combine the Matrices
System of Equations
Eigendecomposition
Linear Regression
Neural Networks
Exercise: Solve the System of Equations
Summary and Further Reading Resources
End of course survey
