Q.

What is the condition applied in factorization method?

A. matrix should not be singular
B. back substitution should be done
C. there must exist a diagonal matrix form of the given matrix
D. all principal minors of the matrix should be non-singular
Answer» D. all principal minors of the matrix should be non-singular
Explanation: the necessary condition for factorization method is that all principal minors of the matrix should be non-singular. otherwise, there will be no formation of lower and upper triangular matrix.
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