1. PRE-AP PRE-CALCULUS CHAPTER 7, SECTION 3 Multivariate Linear Systems and Row Operations 2013 - 2014

2. TRIANGULAR FORM FOR LINEAR SYSTEMS

3. SOLVING BY SUBSTITUTION

4. GAUSSIAN ELIMINATION You can transform a system of equations to the triangular form by using Gaussian Elimination. Gaussian Elimination is named after the famous German mathematician Carl Friedrich Gauss (1777 – 1855). Gauss is known for proving that every algebraic equation has at least one root or solution (the fundamental theorem of Algebra), as well as work in physics and astronomy. Gauss is considered by many to be one of the three greatest mathematicians along with Newton and Archimedes.

5. HOW TO USE GAUSSIAN ELIMINATION

6. USING GAUSSIAN ELIMINATION

8. FINDING NO SOLUTION

9. SOLVING A SYSTEM USING THE CALCULATOR Solving systems using a matrix in your calculator:

10. SOLVE THE SYSTEM USING YOUR CALCULATOR

11. FINDING INFINITELY MANY SOLUTION

13. FITTING A PARABOLA TO THREE POINTS

14. CH. 7.3 HOMEWORK Pg. 604 – 605 #’s: 1, 4, 5, 7 – use method listed in instructions #’s: 35, 38, 39, 40, 42, 43 – ignore the book directions, just solve each system using the matrix function in your calculator #67 – show your work (matrix) that you will use