Let a Linear operator on $\displaystyle \Re^2$ have the following matrix:
A = $\displaystyle \begin{pmatrix}
1 & 0\\
-1 &3
\end{pmatrix}$
What is the area of the figure that results from applying this transformation to the unit square?
Let a Linear operator on $\displaystyle \Re^2$ have the following matrix:
A = $\displaystyle \begin{pmatrix}
1 & 0\\
-1 &3
\end{pmatrix}$
What is the area of the figure that results from applying this transformation to the unit square?