Suppose we are given the unit square S in the plane with corners
(0, 0), (1,...
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Suppose we are given the unit square S in the plane with corners(0, 0), (1, 0), (1, 1) and (0, 1). Let T : R 2 → R2 be a linear transformation represented by the matrixA. If T is not onto, will the image of S under the map T be aparallelogram, a line segment, or a point? Be sure to justify youranswer.
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We know that the area of the unit square will be If is not onto then is nottrivial meaning as itmust be noninvertibleThis means that whatever
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