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I am not sure if this is the answer you want. What is described by 'rotated 270° clockwise about the origin' is achieved by the transformation,

[x_new; y_new] = [0, 1; -1; 0] . [x_old; y_old] in matrix form.

Or simply, [x_new = y_old], [y_new = -1 . x_old]

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