Algebra 2 4.3 notes

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Unformatted text preview: 0 0 6 3 The solution is ( 4 , 2 ). 84 Algebra 2 Notetaking Guide • Chapter 4 4 2 Your Notes CRAMER’S RULE FOR A 3 3 SYSTEM Let A be the coefficient matrix of this linear system: ax dx gx by ey hy cz fz iz 0 , then the system has exactly one solution. If det A x j k l ajc dkf gli ,z det A jbc kef lhi ,y det A Using Cramer’s Rule for a 3 Example 4 Use Cramer’s rule to solve this system: ab j dek gh l det A 3 System 4y 2z 6y z 5y z x x 2x 2 1 4 Solution Evaluate the determinant of the coefficient matrix. 1 1 2 4 6 5 2 1 1 (6 8 10) (24 5 4) 9 Apply Cramer’s rule because the determinant is not 0 . 4 6 5 9 2 1 1 12 11 24 x 2 1 4 2 1 1 y Homework z 9 1 1 2 42 61 54 9 36 9 4 9 9 1 9 9 1 The solution is ( 4 , 1 , 1 ). Lesson 4.3 • Algebra 2 Notetaking Guide 85...
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This document was uploaded on 03/12/2014 for the course ALGEBRA RMHS Algeb at Richard Montgomery High.

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