Lecture 1: Systems of Linear Equations ECON 212 PDF

Summary

This document is a lecture on systems of linear equations. It covers topics such as the definition of a linear system, matrices, elementary row operations, and solving linear systems. The document was prepared by Michael L. Ayala for ECON 212, Mathematical Economics, in the College of Applied Economics at the University of Southeastern Philippines.

Full Transcript

Lecture 1: Systems of Linear Equations ECON 212 – MATHEMATICAL ECONOMICS Prepared by: Michael L. Ayala Faculty College of Applied Economic, University of Southe...

Lecture 1: Systems of Linear Equations ECON 212 – MATHEMATICAL ECONOMICS Prepared by: Michael L. Ayala Faculty College of Applied Economic, University of Southeastern Philippines Source: Cesar O. Aguilar, Department of Mathematics, SUNY Geneseo 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 1 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 2 1.1 What is a system of linear equations? 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 3 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 4 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 5 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 6 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 7 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 8 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 9 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 10 1.2 Matrices 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 11 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 12 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 13 1.3 Solving linear systems 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 14 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 15 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 16 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 17 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 18 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 19 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 20 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 21 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 22 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 23 1.4 Geometric interpretation of the solution set 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 24 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 25 8/19/2024 ECON 212 - MATHEMATICAL ECONOMICS 26

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