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Hello everyone, I hope you are well. I have the following problem and I'm having difficulties to make this implementation in sage. Problem: Consider $f \in \mathbb{R}[x,y]$ and $M \in M_{2}(\mathbb{R})$. How can I implement the $M \cdot f (x,y)=f(M^{-1}(x,y))$ group action in sage?

I took a look at the link: https://doc . sagemath . org/html/en/reference/coercion/sage/categories/action . html But I couldn't understand much.

I thank you for your attention.

Hello everyone, I hope you are well. well.

I have the following problem and I'm having difficulties to make this implementation in sage. Problem: sage.

Problem:

Consider $f \in \mathbb{R}[x,y]$ and $M \in M_{2}(\mathbb{R})$. How can I implement the $M \cdot f (x,y)=f(M^{-1}(x,y))$ group action in sage?

I took a look at the link: https://doc . sagemath . org/html/en/reference/coercion/sage/categories/action . html link:

• https://doc.sagemath.org/html/en/reference/coercion/sage/categories/action.html

But I couldn't understand much.

I thank you for your attention.

Hello everyone, I hope you are well.

I have the following problem and I'm having difficulties to make this implementation in sage.

Problem:

Consider $f \in \mathbb{R}[x,y]$ and $M \in M_{2}(\mathbb{R})$. M_{2}(\mathbb{R})$.