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CONTENT SUMMARY: pg 1: @ How to solve general systems of equations; Chinese "Nine chapters of the mathematical art'/C.F.Gauss; row reduction;
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Solving a System of Linear Equations - Wild Linear Algebra A
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- 1 CONTENT SUMMARY: pg 1: @ How to solve general systems of equations; Chinese "Nine chapters of the mathematical art'/C.F.Gauss; row reduction;
- 2 pg 2: @ General set_up: m equations in n variables; Matrix formulation; matrix of coefficients;
- 3 pg 3: @ Defining the product of a matrix by a column vector; 2 propositions used throughout the remainder of course; matrix formulation of basic system of equations;
- 4 pg 4: @ return to original example; Linear transformation;
- 5 pg 5: @ a 3rd way of thinking about our system of linear equations; vector formulation; example;
- 6 pg 6: @ example: row reduction working with equations;
- 7 pg 7: @ example: row reduction working with matrices; row echelon form mentioned; reduced row echelon form; setting a variable to a parameter;
- 8 pg 8: @ Terminology; augmented matrix, leading entry, leading column, row echelon form;
- 9 pg 9: @ examples; solution strategy;
- 10 pg 10: @ elementary row operations; operations are invertible can be undone; algorithm for row reducing a matrix;
- 11 pg 11: @ algorithm for row reducing a matrix; pivot entry;
- 12 pg 12: @ example; row reducing a matrix per algorithm;
- 13 pg 13: @ exercises 13.1:2;
- 14 pg 14: @ exercise 13.3; THANKS to EmptySpaceEnterprise
- 15 Introduction
- 16 General setup: m equations in n variables
- 17 Product of matrix by vector
- 18 Equations and row reduction
- 19 Terminology echelon forms
- 20 Elementary row operations
- 21 Row reducing algorithm
- 22 Row reduction exercise
