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Let be a linear transformation with determinant. Let,, and be Riemann integrable on a rectangle containing. Which of the statements below is necessarily correct?

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Let<br><img src='https://www.fatskills.com/images2/GradExams/A72BB066-0EA0-4520-A931-B2509F5E59FA.png' height='18' width='106'/> be a linear transformation with determinant<br><img src='https://www.fatskills.com/images2/GradExams/283245BD-C4DF-418E-A3DF-DBC3977DDD65.png' height='14' width='23'/>. Let<br><img src='https://www.fatskills.com/images2/GradExams/00B52AA5-9982-4051-94B0-FF46E187206F.png' height='20' width='141'/>,<br><img src='https://www.fatskills.com/images2/GradExams/61FD4728-7048-44AD-9F79-068AFD1AD9EF.png' height='20' width='82'/>, and<br><img src='https://www.fatskills.com/images2/GradExams/E8929E27-9E39-4AB9-BA64-3CC4CD8D55B5.png' height='18' width='10'/> be Riemann integrable on a rectangle containing<br><img src='https://www.fatskills.com/images2/GradExams/87DA0AF5-B9A5-43F4-B2C8-B81A4D8F9707.png' height='15' width='49'/>. Which of the statements below is necessarily correct?





 
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