After the forward elimination step of the Gauss elimination method, the coefficient matrix is reduced to ____________(a) a lower triangular matrix(b) an upper triangular matrix(c) a diagonal matrix(d) a banded matrixThis question was addressed to me in a job interview.The origin of the question is Numerical Methods in portion Numerical Methods of Computational Fluid Dynamics

After the forward elimination step of the Gauss elimination method, th

1.	After the forward elimination step of the Gauss elimination method, the coefficient matrix is reduced to ____________(a) a lower triangular matrix(b) an upper triangular matrix(c) a diagonal matrix(d) a banded matrixThis question was addressed to me in a job interview.The origin of the question is Numerical Methods in portion Numerical Methods of Computational Fluid Dynamics
Answer» The CORRECT answer is (b) an upper triangular matrix For EXPLANATION I would say: After the forward ELIMINATION step, the main diagonal ELEMENTS and the elements above it are non-ZEROS. All the elements below the main diagonal are zeros. So, we can say that it gives an upper triangular matrix to be solved.

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