Let. If is the singular-value decomposition of, then

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Let<br><img src='https://www.fatskills.com/images2/GradExams/C26CAE00-1803-45F1-BF09-A96D5D6E490A.png' height='48' width='129'/>. If<br><img src='https://www.fatskills.com/images2/GradExams/8E61A8B7-93B1-4F02-B567-A6BAF0C0A063.png' height='16' width='91'/> is the singular-value decomposition of<br><img src='https://www.fatskills.com/images2/GradExams/410E39D5-BF81-4C79-9D35-17456837F093.png' height='15' width='14'/>, then