Allied & ICAR Exam Bank • ALLIED_2760 NAT • 2 Marks

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Solutions of linear and non-linear algebraic equations

Question Statement:

The Gauss–Seidel iterative method for solving $A x = b$ is guaranteed to converge for any initial vector if matrix $A$ is:

Answer Key:

1

Step-by-Step Solution & Explanation

Strict diagonal dominance guarantees convergence. (Coding 1 for strictly diagonally dominant condition indicator).
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