# Pre calculus warm up.3.11.14

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Published on March 11, 2014

Author: roneick

Source: slideshare.net

Pre calculus warm up 3.11.14 C. How many solutions are there to each 3 - variable system graphed below? A. The graph of a 3 variable equation is a _____________? B. What is row-echelon form?

Gaussian Elimination GENERAL IDEA: 1. Forward Elimination 2. Back Substitution GOAL: Transform the system into Row-echelon form. HOW: Perform elementary row operations so that back substitution can be easily done.

Elementary Row Operations Changes done to a system of equations that still maintain its equivalence. There are only 3 Elementary Row Operations 1. Interchange 2 equations (or Rows) 2. Multiply one of the equations (or rows) by a non-zero constant. 3. Add a multiple of one row to another.

Gaussian Elimination Perform elementary row operations so that back substitution can be easily done. Suggested steps: 1. Obtain a coefficient of “1” for x in Row 1 2. Eliminate x from Row 2 and Row 3 3. Obtain a coefficient of “1” for y. 4. Eliminate y from Row 3 5. Obtain a coefficient of “1” for z – then back substitute to solve.

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