Rotate the given triangle $270^{\circ}$ counter-clockwise about the origin. \[ \begin{array}{c} {\left[\begin{array}{ccc} 3 & 6 & 3 \\ -3 & 3 & 3 \end{array}\right]} \\ {\left[\begin{array}{ccc} -3 & {[?]} & {[]} \\ -3 & {[]} & {[]} \end{array}\right]} \end{array} \] Enter

Step 1 ：The given triangle is represented by a 2x3 matrix: \[\begin{array}{ccc} 3 & 6 & 3 \\ -3 & 3 & 3 \end{array}\]

Step 2 ：We are asked to rotate this triangle 270 degrees counter-clockwise about the origin. The rotation matrix for a 270 degrees counter-clockwise rotation is: \[\begin{array}{cc} 0 & 1 \\ -1 & 0 \end{array}\]

Step 3 ：To find the new coordinates of the triangle, we multiply the given matrix by the rotation matrix.

Step 4 ：The result of this multiplication is: \[\begin{array}{ccc} -3 & 3 & 3 \\ -3 & -6 & -3 \end{array}\]

Step 5 ：\(\boxed{\text{Final Answer: The coordinates of the triangle after a 270 degrees counter-clockwise rotation about the origin are (-3, 3, 3) and (-3, -6, -3).}}\)