Illustrate Theorems 9.2 and 9.4 on the system Theorem 9.2 A system of linear inequalities and equations is unsolvable if and only if it is inconsistent. Theorem 9.4 Every unsolvable system of linear inequalities in n variables contains an unsolvable subsystem of at most n + 1 inequalities.

Illustrate Theorems 9.2 and 9.4 on the system Theorem 9.2 A system of linear inequalities and equations is unsolvable if and only if it is inconsistent. Theorem 9.4 Every unsolvable system of linear inequalities in n variables contains an unsolvable subsystem of at most n + 1 inequalities.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Illustrate Theorems 9.2 and 9.4 on the system

Theorem 9.2

A system of linear inequalities and equations is unsolvable if and only if it is inconsistent.

Theorem 9.4

Every unsolvable system of linear inequalities in n variables contains an unsolvable subsystem of at most n + 1 inequalities.

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