Tagged Questions

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Transforming a nonlinear system to a linear system

Suppose I have two points in $\mathbb{R}^2$ and I wish to find values of parameters $a$ and $b$ such that I obtain the power law $y=ax^b$ which goes through the two given points. I can solve the ...
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Using jacobian to solve a nonlinear system of equations?

I have to solve a system of nonlinear equations using jacobian but I'm not sure how to solve for the solutions. I remember one of my friends doing $Ax = B$; where jacobian matrix was $A$, but im not ...
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Solve numerical system of nonlinear equations?

I need to solve a nonlinear system of equations that looks like this ...
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how to solve these kind of systems $x^2+y^2=z^2; z-y^3=5; xy=z$

Three variable system of equations with three variable with exponents for example $x^2+y^2=z^2$ $z-y^3=5$ $xz=y$
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Solution to a trigonometric system

Find the solutions of the system $$\sin a-\frac{\sqrt{3}}{3}\sin b=0$$ $$\frac{\tan 2a-2\tan a}{\tan 2b}\cdot\frac{\tan 2b-2\tan b}{\tan 2a} =1$$ How to work with them ? Thanks
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Determine the number of solutions of nonlinear system without solving.

$x^2-y^2+2y=0$, $2x+y^2-6=0$ I need to determine the number of solutions without solving it. There is a hint that a graph can help but I am still not sure how to go about this. Thanks
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Solution of a non-linear system

What is the solution of the following system? \begin{align} a \cdot e-b \cdot d & =\alpha \\ a \cdot f-c \cdot d & =\beta \\ b \cdot f-c \cdot e & =\gamma \end{align} Where the ...
I want to show that the following system of equations does not have a solution, but I do not know how to do this $$w_1+w_2=\frac{1}{2}$$ $$w_1s_1+w_2s_2=\frac{1}{6}$$ $$w_1t_1+w_2t_2=\frac{1}{6}$$ ...
Writing the ortogonality condition for any element of O(n), I've arrived to: If we take n=2, we know that $\Lambda\Lambda^{T}=\mathbb{I}$, so: \begin{pmatrix} x & y \\ z & t \end{pmatrix} ...