Find the 4 × 4 Matrix That Produces the Described

Multiple Choice

Find the 4 × 4 matrix that produces the described transformation, using homogeneous coordinates.
-Rotation about the y-axis through an angle of 60° 73)

A)
$$\left[ \begin{array} { c c c c } 0.5 & 0 & \sqrt { 3 } / 2 & 0 \\0 & 1 & 0 & 0 \\- \sqrt { 3 } / 2 & 0 & 0.5 & 0 \\0 & 0 & 0 & 1\end{array} \right]$$
B)
$$\left[ \begin{array} { c c c c } \sqrt { 3 } / 2 & 0 & 0.5 & 0 \\0 & 1 & 0 & 0 \\- 0.5 & 0 & \sqrt { 3 } / 2 & 0 \\0 & 0 & 0 & 1\end{array} \right]$$
C)
$$\left[ \begin{array} { c c c c } 0.5 & \sqrt { 3 } / 2 & 0 & 0 \\- \sqrt { 3 } / 2 & 0.5 & 0 & 0 \\0 & 0 & 1 & 0 \\0 & 0 & 0 & 1\end{array} \right]$$
D)
$$\left[ \begin{array} { c c c c } 1 & 0 & 0 & 0 \\0 & 0.5 & \sqrt { 3 } / 2 & 0 \\0 & - \sqrt { 3 } / 2 & 0.5 & 0 \\0 & 0 & 0 & 1\end{array} \right]$$