Allied & ICAR Exam Bank • ALLIED_1042 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Gauss elimination

Question Statement:

In Gaussian elimination, partial pivoting is primarily employed to:

Options:

  • (A) Prevent division by zero and minimize round-off errors
  • (B) Ensure the coefficient matrix is symmetric
  • (C) Increase the number of arithmetic operations
  • (D) Transform the matrix into diagonal form in a single step

Answer Key:

A

Step-by-Step Solution & Explanation

Partial pivoting swaps rows so that the largest available element in magnitude becomes the pivot, preventing division by very small numbers and drastically reducing round-off error propagation.
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