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Problem 4. Find all numbers a such that forward-elimination stops (a) forever, and (b) briefly. ax+3y=-3 4x+6y= 6.

Problem 4. Find all numbers a such that forward-elimination stops (a) forever, and (b) briefly. ax+3y=-3 4x+6y= 6.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 4. Find all numbers a such that forward-elimination stops (a) forever, and (b) briefly. ax+3y=-3 4x+6y= 6.
Transcribed Image Text:Problem 4. Find all numbers a such that forward-elimination stops (a) forever, and (b) briefly. ax+3y=-3 4x+6y= 6.
Expert Solution
Step 1

Given: 

ax+3y=-3                                          ..14x+6y=6                                              ..2

To be find: value of a for which forward-elimination stops forever and briefly.

Concept: for given system of equations forward-elimination stops 

  • Forever: if system have no solution.
  • Briefly: if matrix made by coefficient of variable becomes upper triangle.

Where; upper triangular matrix is matrix whose all elements are zero below diagonal.

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