# Given Simultaneous linear equations of the form, a_{11}x_1 + a_{12}x_2+a_{13}x_3+\cdots a_{1n}x_n

Arnold Herring 2022-02-25 Answered
Given Simultaneous linear equations of the form,
${a}_{11}{x}_{1}+{a}_{12}{x}_{2}+{a}_{13}{x}_{3}+\cdots {a}_{1n}{x}_{n}={b}_{1}$
${a}_{21}{x}_{1}+{a}_{22}{x}_{2}+{a}_{23}{x}_{3}+\cdots {a}_{2n}{x}_{n}={b}_{2}$
${a}_{31}{x}_{1}+{a}_{32}{x}_{2}+{a}_{33}{x}_{3}+\cdots {a}_{3n}{x}_{n}={b}_{3}$
$⋮$
${a}_{n1}{x}_{1}+{a}_{n2}{x}_{2}+{a}_{n3}{x}_{3}+\cdots {a}_{\cap }{x}_{n}={b}_{n}$
Can the Newton Raphson's Method use to solve this system of linear equations? Please mention the reasons and possible arguments.
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Malaika Ridley
That just leads you back to solving the same system in the (only) iteration. No point in that.
There are iterative methods to approximate the solution to (large, sparse) linear systems, like relaxation.
Pregazzix2a