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_ 2 2 Let T [R [R be a linear transformation with standard matrix A, and let S be the interior of the rectangle
_ 2 2 Let T [R " [R be a linear transformation with standard matrix A, and let S be the interior of the rectangle with vertices (0'0), (0'1), (1'0), and (1'1). If T(S) is the interior of the rectangle with vertices (090), (02), (10), and (22), then it is possible that det A = '4
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