Question

Let U be a square matrix such that Upper U Superscript Upper TUequalsI. Show that det Uequalsplus or minus1. Assume that Upper U Superscript Upper TUequalsI. Since the desired result is that det Uequalsplus or minus​1, an intermediate step must be found which contains the expression det U. Which of the following can be applied to the assumption Upper U Superscript Upper TUequalsI to achieve the desired​ result? A. det ​(Upper U Superscript Upper T​U)Superscript negative 1equalsdet I B. det ​(Upper U Superscript Upper T​U)equalsI C. ​(Upper U Superscript Upper T​U)Superscript negative 1equalsISuperscript negative 1 D. det ​(Upper U Superscript Upper T​U)equalsdet I Simplify the right side of the equation found in the first step. nothing Which property can be used to simplify the left side of the equation found in the first​ step? Select all that apply.

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