GATE MA 2025 MA Q36: Linear Algebra

Consider the linear system

, where

, and

for

, is a matrix with entries in

. For

, let

and

. Consider the following two statements:

S1: The approximation of

after one iteration of the Jacobi scheme with initial vector

S2: There exists an initial vector

for which Jacobi iterative scheme diverges.

Then, which one of the following is correct?

Your answerChoose one option.

S1 is TRUE and S2 is FALSE

S2 is TRUE and S1 is FALSE

both S1 and S2 are TRUE

neither S1 nor S2 is TRUE

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