Math / Elementary Linear Algebra with Applications 9 / Chapter 6.6 / Problem 19

Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill

Let L: N" -+ R" be a linear operator that preserves inner producL~ (see Exercise 16)

Chapter 6, Problem 19

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Let L: N" -+ R" be a linear operator that preserves inner producL~ (see Exercise 16). and let the II x II matrix A represent L with respect to some ordered basis S for R".(a) Prove that ker L = {O}.(b) Prove that AAT = I". (Hilll: Use SupplementaryExercise 17 in Chapter S.)

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Let L: N" -+ R" be a linear operator that preserves inner producL~ (see Exercise 16)

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Let L: N" -+ R" be a linear operator that preserves inner producL~ (see Exercise 16)

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