(Solved): When viewed as a linear transformation \( A: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \), the mat ...

When viewed as a linear transformation \( A: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \), the matrix \[ A=\left(\begin{array}{cc} 2 & 0 \\ 0 & -1 \end{array}\right) \] has the effect of... Shearing the plane vertically by a factor of 2 and reflecting it across the \( x \)-axis Shearing the plane horizontally by a factor of 2 and reflecting it across the \( y \) axis Reflecting the plane across the \( x \)-axis and stretching it horizontally by a factor of 2 Reflecting the plane across the \( y \)-axis and stretching it vertically by a factor of 2