Let U be a square matrix such that u'U=I. Show that det U = +1.Assume that u'u=1, Since the desired result is that det U= +1, an intermediate step must be found which contains the expression det U. Which of the following can be applied to the assumption U'U=I to achieve the desired result?O A. det (U'u)-1= det IO B. det (Uu) = IOC. det (U'u) = det IOD. (UTu)-1=1-1Simplify the right side of the equation found in the first step.Which property can be usedsimplify the left side of the equation found in the first step? Select all that apply.O A. det U = - det UO B. UTU=1O C. Multiplicative PropertyO D. Commutative PropertyO E. det U = det UUse the properties from the previous step to rewrite the left side of the equation found in the first step.Setting each side of the equation in the first step equal to the expressions found in previous steps and solving for det U results in det U=1.Click to select your answer(s).

Given; UTU=1 The objective is to shown that det U=

Let U be a square matrix such that U'U=I. Show that det U = +1. Assume that U'U=1, Since the desired result is that det U= +1, an intermediate step must be found which contains the expression det U. Which of the following can be applied to the assumption U'U=I to achieve the desired result? O A. det (U'u)-1 = det I O B. det (UU)=1 OC. det (U'u) = det I O D. (U'U)-1=11 Simplify the right side of the equation found in the first step.

Let U be a square matrix such that U'U=I. Show that det U = +1. Assume that U'U=1, Since the desired result is that det U= +1, an intermediate step must be found which contains the expression det U. Which of the following can be applied to the assumption U'U=I to achieve the desired result? O A. det (U'u)-1 = det I O B. det (UU)=1 OC. det (U'u) = det I O D. (U'U)-1=11 Simplify the right side of the equation found in the first step.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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