Find a $2$x$2$ matrix A$,$ such that the linear transformation T: R$^2-->$ R$^2$ defined by T$($x$)=$Ax sends the unit circle C to the ellipse E$.$ Save the matrix A as a $2$x$2$ NumPy array called ellipse$\_$matrix. Then use the matrix A to compute the area of E$,$ and save its value as a variable ellipse$\_$area.

Quick Note

Recall that the standard matrix of a linear transformation from R$2$ to R$2$ is given by

A$=[$T$($e$1)$ T$($e$2)]$

Where should the transformation T send the standard basis vectors e$1$ and e$2?$