What is pivoting? Explain with example ie usefulness of it.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 55E
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What is pivoting? Explain with example ie usefulness of it.
Transcribed Image Text:What is pivoting? Explain with example ie usefulness of it.
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Step 1

Pivoting:

The element in the diagonal of a matrix by which other elements are divided in an algorithm such as Gauss-Jordan elimination is called the pivot element. Partial pivoting is the interchanging of rows and full pivoting is the interchanging of both rows and columns in order to place a particularly "good" element in the diagonal position prior to a particular operation.

The objective of pivoting is to make an element above or below a leading one into a zero.

 

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