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In Gaussian elimination, A is defined as symmetric matrix then its multiplier is defined as ____

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In Gaussian elimination, A is defined as symmetric matrix then its multiplier is defined as ____

(a) C = akk/aik

(b) C = aki/akk

(c) C = aik/akk

(d) C = akk/aki

This question was posed to me in semester exam.

This intriguing question originated from Gaussian Elimination topic in division Matrix Algebra and Gaussian Elimination of Finite Element Method

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Correct answer is (b) C = aki/akk

To elaborate: In a Gaussian elimination, If A is a symmetric matrix then its algorithm can be modified in two methods, one method is its multiplier is defined as C = aki/akk. 2^nd modification is related to DO LOOP.

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