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pg 13: @ exercise 14.1;
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More Row Reduction With Parameters - Wild Linear Algebra A
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- 1 CONTENT SUMMARY: pg 1: @ row reduction using example; get all leading entry values to 1; fully reduced row echelon form; glorified highschool algebra done very systematically;
- 2 pg 2: @ example 2 2 parallel lines in a plane; no solution; example 3 3 equations, 3 variables; back substitution;
- 3 pg 3: @ definition: Fully reduced row echelon form; examples;
- 4 pg 4: @ examples; obtaining fully reduced row echelon matrices;
- 5 pg 5: @ Parameters; example a line; parametric solution;
- 6 pg 6: @ example a plane; parametric form for a plane: point on plane and 2 direction vectors;
- 7 pg 7: @ example intersection of 2 planes in 3D;
- 8 pg 8: @ why introduction of parameters works;
- 9 pg 9: @ problem1: writing a vector as a linear combination of 3 other vectors; important point: a system can be thought of in different terms;
- 10 pg 10: @ problem1 continued;
- 11 pg 11: @ problem2: writing 2d vector as a linear combination of 3 other 2d vectors;
- 12 pg 12: @ problem2 continued;
- 13 pg 13: @ exercise 14.1;
- 14 pg 14: @ exercise 14.2;
- 15 pg 15: @ exercise 14.3; THANKS to EmptySpaceEnterprise
