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Modern Linear Algebra Using Python Instead of a Textbook

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Overview

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This course introduces linear algebra through Python rather than a textbook. It covers matrix operations, LU decomposition, inverses, null spaces, ordinary least squares, Gram–Schmidt QR decomposition, and the Jacobian's use in neural networks.

Syllabus

Linear algebra using sympy.
Matrices in python using sympy.
Matrix arithmetic using sympy.
LU decomposition of a matrix using sympy.
Inverse of a matrix.
Null space of a matrix using sympy.
Ordinary Least Squares Tutorial using Python.
Gram Schmidt process for QR decomposition using Python.
Basics of the Jacobian and its use in a neural network using Python.

Taught by

Dr Juan Klopper

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