In the figure, the vectors $\mathbf{u}$ and $\mathbf{v}$ are related as: $\mathbf{A u}=\mathbf{v}$ by a transformation matrix A. The correct choice of $\mathbf{A}$ is
- $\left[\begin{array}{cc}\frac{4}{5} & \frac{3}{5} \\ -\frac{3}{5} & \frac{4}{5}\end{array}\right]$
- $\left[\begin{array}{cc}\frac{4}{5} & -\frac{3}{5} \\ \frac{3}{5} & \frac{4}{5}\end{array}\right]$
- $\left[\begin{array}{ll}\frac{4}{5} & \frac{3}{5} \\ \frac{3}{5} & \frac{4}{5}\end{array}\right]$
- $\left[\begin{array}{ll}\frac{4}{5} & -\frac{3}{5} \\ \frac{3}{5} & -\frac{4}{5}\end{array}\right]$