If a system of linear equations can be represented by

ennuvolat4gv

ennuvolat4gv

Answered question

2022-02-23

If a system of linear equations can be represented by the compact form,
Ax=b
how will a system of nonlinear equations (system of quadratic equations and system of exponential equations) be represented in compact form?

Answer & Explanation

Halle Hansen

Halle Hansen

Beginner2022-02-24Added 5 answers

This is way too general. Perhaps something can be said about quadratic equations: you can write them as xAx+bx+c=0,where x is the vector of unknowns, b is a vector and c is a scalar. But a system of such things... That would require 3-dimensional matrices, and it would not be nice. If you think about the degree of freedom: you need two dimensions for all variations of the form xi,xj, and a third one for the different equations.
As for exponential equations, I am not even sure what you mean, and what the degree of freedom would be. I do not think there is a compact form.

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