Question

What transformation matrix would result in a 300 degrees counterclockwise rotation about the origin?

Answer 1

the answer is B

hope this helps :)

Answer 2

For rotation by an angle, θ, in the counter-clockwise direction about the origin, the transformation matrix is given by 
     $\begin{pmatrix}cos\:\theta &-sin\:\theta \\ sin\:\theta &cos\:\theta \end{pmatrix}$

The given angle is θ=300°. 

The values we need are
     $cos\left(300^{\circ} \right)=\frac{1}{2}$
     $sin\left(300^{\circ} \right)=-\frac{\sqrt{3}}{2}$

Substituting these into the given transformation matrix, we have
     $\begin{pmatrix}\frac{1}{2}&\frac{\sqrt{3}}{2}\\ -\frac{\sqrt{3}}{2}&\frac{1}{2}\end{pmatrix}$