A computer graphics program stores a 2D shape as:

$S=\left[\begin{array}{ll}

1 & 2 \\

3 & 4

\end{array}\right]$



Each column represents a vertex ($x, y$). The program first scales the shape by a factor of 2, then applies the transformation matrix shown:

$M=\left[\begin{array}{cc}

0 & -1 \\

1 & 0

\end{array}\right]$



What happens to the shape after both transformations?

AThe shape doubles in size and rotates 90° counterclockwise.

BThe shape doubles in size and reflects across the x-axis.

CThe shape rotates 90° clockwise without changing size.

DThe shape shrinks and rotates 90° counterclockwise.