linear systems as matrices
(2 hours to learn)
We can represent systems of linear equations in terms of matrices and vectors. This allows us to analyze and solve them using the tools of linear algebra.
This concept has the prerequisites:
Core resources (read/watch one of the following)
→ MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
→ Introduction to Linear Algebra
An introductory linear algebra textbook with an emphasis on numerical methods.
Location: Section 2.1, pages 31-38
Supplemental resources (the following are optional, but you may find them useful)
→ Khan Academy: Linear Algebra
→ Multivariable Mathematics
A textbook on linear algebra and multivariable calculus with proofs.
Location: Section 4.1, "Gaussian elimination and the theory of linear systems," pages 127-142
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