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Q&A #6276 |
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Hi Ghania, to continue from where Pat left off, some matrices like [1 3] [x] [2 6] [y] will give an image of [ x+3y] [2x+6y] which is, as he pointed out, the line y' = 2x'. I'd just like to ask and answer the question: what shapes have images that are just a single point under this transformation? The answer is any set of points where x + 3y is a constant for all points in the set: that is, points along any line x + 3y = c, or y = -1/3 x + C. That is, all lines or segments with slope -1/3 are mapped to a single point. -Joshua, for the T2T service
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