First Principles AI

Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.3

Key idea

For a linear transformation:

\begin{bmatrix}X\\Y\end{bmatrix}=T\begin{bmatrix}x\\y\end{bmatrix}

If the original curve is parametric (e.g. $y=x^2$ ), substitute $y$ into $X,Y$ and then eliminate the parameter $x$ to get the image curve.