I'm in $\mathbb{A}^2$ and I have $O=(-1,0)$, $P=(2,3)$ and $P'=(0,1)$. I know that $f$ is an homothety, that $O$ is its centre and that $f(P)=P'$. I'm being asked for the matrix of $f$. I've found the matrix of $\vec{f}$ but I'm having trouble with the centre of it. How can I do it?
#Homothecies
pine portal
main treeBOT
I'm in $\mathbb{A}^2$ and I have $O=(-1,0)$, $P=(2,3)$ and $P'=(0,1)$. I know th...
- Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
- Wait patiently for a helper to come along.
- Once someone helps you, say thank you and close the thread with:
+close - Feel free to nominate the person for helper of the week in #helper-nominations
- Do not ping the mods, unless someone is breaking the rules.
- If you're happy with the help you got here, and the server overall, you can contribute financially as well:
true urchinBOT
Miguel
pine portal
I know the matrix has this form
$\begin{pmatrix}
1 & 0 & 0 \
\alpha_1 & \frac{1}{3} & 0 \
\alpha_2 & 0 & \frac{1}{3}
\end{pmatrix}$
true urchinBOT
Miguel
pine portal
How do I find $\alpha_1$ and $\alpha_2$? I've tried $M(f)*0 = 0$ since it is the centre, but it is giving me the wrong answer, it just gives me $(-1,0)$
true urchinBOT
Miguel
cinder rapids