Determine the type of transformation represented by the following matrix. \( \left[\begin{array}{cc}\cos \left(-29^{\circ}\right) & -\sin \left(-29^{\circ}\right) \\ \sin \left(-29^{\circ}\right) & \cos \left(-29^{\circ}\right)\end{array}\right] \) Rotation: \( \begin{array}{l}v \text { Select } \\ \text { Clockwise } \\ \text { Counterclockwise }\end{array} \)

We start with the given matrix: \[ \begin{bmatrix} \cos(-29^\circ) & -\sin(-29^\circ) \\ \sin(-29^\circ) & \cos(-29^\circ) \end{bmatrix} \] 1. The standard rotation matrix by an angle \(\theta\) is: \[ \begin{bmatrix} \cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix} \] 2. By comparing the given matrix with the standard form, we see that \(\theta = -29^\circ\). 3. A rotation by a negative angle indicates a rotation in the clockwise direction. Specifically, a rotation by \(-29^\circ\) is equivalent to a clockwise rotation of \(29^\circ\). Thus, the transformation represented by the matrix is a rotation by \(29^\circ\) clockwise.