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Consider the transformation that maps points in the unit square to the quadrilat

ID: 2973371 • Letter: C

Question

Consider the transformation that maps points in the unit square to the quadrilateral shown. Is it possible to have a linear transformation from R2 to R2 that makes this mapping? Suppose each shape was living in R3, with the square having coordinates (0, 0, 1), (1, 0, 1), (1, 1, 1), and (0, 1, 1), and the quadrilateral having coordinates (0, 0, a), (2, l, b), (3, 3, c), and (0, 4, d) for some values a, b, c, d. Is it possible to have a linear transformation from R3 to R3 that makes this mapping? if so, find it. if not,? Explain why not.

Explanation / Answer

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