Question: What does Newton's method reduce to for the linear system Ax = b given by a11x1 + a12 x2 + +a1nxn = b1, a21x1

What does Newton's method reduce to for the linear system Ax = b given by
a11x1 + a12 x2 +· · ·+a1nxn = b1,
a21x1 + a22 x2 +· · ·+a2nxn = b2,
.
.
.
an1x1 + an2x2 +· · ·+annxn = bn,
where A is a nonsingular matrix?

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