Which of these formulae is used in the backward substitution step of Gauss-elimination method?Note: The global matrix isAΦ=bi → row number.j → column number.N→ Number of unknowns.

Question

TuteeHUB · Accepted Answer

$\Phi_i=\frac{b_i-A_{ij}\phi_j}{A_{ii}} $

TuteeHUB · Answer

$\Phi_i=\frac{b_i-\sum_{j=i+1}^N a_{ij}\phi_j}{A_{ii}} $

TuteeHUB · Answer

$\Phi_i=\frac{b_i-A_{ij}\phi_j}{A_{ii}} $

TuteeHUB · Answer

$\Phi_i=\frac{\sum_{j=i+1}^NA_{ij}\phi_j}{A_{ii}} $

TuteeHUB · Answer

$\Phi_i=b_i-\frac{\sum_{j=i+1}^NA_{ij}\phi_j}{A_{ii}} $

1.	Which of these formulae is used in the backward substitution step of Gauss-elimination method?Note: The global matrix isAΦ=bi → row number.j → column number.N→ Number of unknowns.
A.	\(\Phi_i=\frac{b_i-\sum_{j=i+1}^N a_{ij}\phi_j}{A_{ii}} \)
B.	\(\Phi_i=\frac{b_i-A_{ij}\phi_j}{A_{ii}} \)
C.	\(\Phi_i=\frac{\sum_{j=i+1}^NA_{ij}\phi_j}{A_{ii}} \)
D.	\(\Phi_i=b_i-\frac{\sum_{j=i+1}^NA_{ij}\phi_j}{A_{ii}} \)
Answer» B. \(\Phi_i=\frac{b_i-A_{ij}\phi_j}{A_{ii}} \)

Which of these formulae is used in the backward substitution step of Gauss-elimination method?Note: The global matrix isAΦ=bi → row number.j → column number.N→ Number of unknowns.

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