1. Multivariate Linear Systems and Row Operations
4/17/2017 7:33 PM
Precalculus
Lesson 7.3
Part 2
Multivariate Linear Systems and
Row Operations
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2. Quick Review ?
Yes

3. What you’ll learn about
Triangular Forms for Linear Systems
Gaussian Elimination
Elementary Row Operations and Row Echelon Form
Reduced Row Echelon Form
Solving Systems with Inverse Matrices
Applications
… and why
Many applications in business and science are modeled by systems of linear equations in three or more variables.

4. Example Solving a System Using Inverse Matrices

5. Example Solving a System Using Inverse Matrices

6. Example Application Problem
Stewart’s Metals has three silver alloys on hand. One is 22% silver, another is 30% silver, and the third is 42% silver. How many grams of each alloy is required to produce 80 grams of a new alloy that is 34% silver if the amount of 30% alloy is used twice the amount of 22% alloy used?

7. Example Application Problem
Stewart’s Metals has three silver alloys on hand. One is 22% silver, another is 30% silver, and the third is 42% silver. How many grams of each alloy is required to produce 80 grams of a new alloy that is 34% silver if the amount of 30% alloy is used twice the amount of 22% alloy used?

8. Example Application Problem
Stewart’s Metals has three silver alloys on hand. One is 22% silver, another is 30% silver, and the third is 42% silver. How many grams of each alloy is required to produce 80 grams of a new alloy that is 34% silver if the amount of 30% alloy is used twice the amount of 22% alloy used?
Therefore, is about grams of the 22% silver, grams of the 30% silver, and grams of the 42% silver is needed.

9. Homework:
Text pg603/604 Exercises
#43,45,47,49,79