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Which of these direct methods is suitable only for banded matrices?

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Which of these direct methods is suitable only for banded matrices?

(a) Gauss elimination

(b) LU decomposition

(c) PDMA

(d) LU decomposition by Gauss elimination

I got this question in final exam.

This interesting question is from Numerical Methods in section Numerical Methods of Computational Fluid Dynamics

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Correct choice is (c) PDMA

Easy explanation: PDMA stands for Penta-Diagonal Matrix Algorithm. This is used for solving a Penta-diagonal matrix which has non-zero elements only in its main diagonal and two diagonals above and below it. A Penta-diagonal matrix is a sparse (fewer non-zero elements) banded matrix.

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