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4.3 Second-Order Determinants and Cramers Rule To derive Cramers Rule click here.here To see Cramers Rule click here.here To see examples click here.here.

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Presentation on theme: "4.3 Second-Order Determinants and Cramers Rule To derive Cramers Rule click here.here To see Cramers Rule click here.here To see examples click here.here."— Presentation transcript:

1 4.3 Second-Order Determinants and Cramers Rule To derive Cramers Rule click here.here To see Cramers Rule click here.here To see examples click here.here To return to this menu click www.mathgarage.com

2 Find the solution to a system of linear equations (2 Equations, 2 Unknowns) The General Case www.mathgarage.com

3 www.mathgarage.com

4 www.mathgarage.com

5 Do you see a pattern or a generalization we can make? www.mathgarage.com

6 Second-Order Determinant How can we use this idea to write the solution to the system? www.mathgarage.com

7 This method of solving a linear system is called Cramers Rule. Gabriel Cramer was an 18 th century Swiss mathematician. http://www.gap-system.org/~history/Biographies/Cramer.html www.mathgarage.com

8 www.mathgarage.com

9 www.mathgarage.com

10 www.mathgarage.com

11 www.mathgarage.com


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