Linear Algebra in Any Dimension - Matrices and Linear Systems
Solve linear systems and handle matrices with the Gaussian elimination algorithm.
The course "Linear Algebra in Any Dimension - Linear Systems and Matrices" focuses on the Gaussian pivot method and its variant, the Gauss-Jordan elimination, as foundational techniques for solving various types of linear equations, including regular, underdetermined (infinite solutions), and overdetermined systems (optimization using least squares).
Additionally, these methods are utilized for inverting square matrices and calculating their determinants.
All the algorithms are implemented in Python, and students will receive the corresponding scripts for their reference.
We encourage you to enroll in this course; it promises to be a valuable experience.
Your Instructor
Fabienne holds the Agregation in Mathematics, the highest French diploma to teach mathematics in secondary schools. After a 26-year career as an R&D engineer in applied mathematics, she founded Mathedu (Mathematics Re-engineering) with her husband and collaborator Francois, to teach mathematics from a practical point of view, based on Python programming. She is both an expert in mathematics education and a passionate woman who will help you experience the joy of improving your mastery of mathematics.
Course Curriculum
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StartDiscover the Row Echelon form (3:30)
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StartBack Substitution in Python for Systems in Row Echelon Form (10:12)
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StartGaussian Elimination and Back Substitution (10:15)
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StartGaussian Elimination and Back Substitution in Python (11:44)
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StartGauss Jordan Elimination (5:58)
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StartGauss Jordan Elimination in Python (5:05)
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StartAround the Row Echelon Form of a System (pdf)
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StartSection 3 Test