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08 "Review" of basic matrix terminologies and operations - addition, multiplication, scaling and transpose. 09 Entrywise formulas for basic matrix operations. 04 Gaussian elimination. 05b Some more applications and examples. 05a More examples of parametrized solutions. 07 Geometric interpretation of simple linear systems -- hyperplanes. 05 Pivots, free variables, unique solutions, parametrized solutions, no solutions. 06b Further understanding: Solving system of linear equations in different fields. 06 Outcome of a linear system, and number of solutions. 06a Further understanding: Fields and other scalars of choice.
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