Question: Find three matrices \(A,B\) and \(C\) that will first rotate the vector \(\left[ \begin{matrix} 1 \\ 1 \\ \end{matrix} \right]\) by \(90^{\circ}\)

counterclockwise, then reflect it about the \(x\) -axis, and finally rotate it clockwise by an angle of \(180^{\circ} .\) Where would the above vector be transformed? Specify the matrix operation that will execute the above sequence of transformations.

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