Exercise 11.6.2 Which of the following matrices define orthogonal transformations? Which ones defin isometries? 1 2 0 *-[-]. [-+1)-(1-1) [L] A = [1 C = 2 -1 -1 B = D=

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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Can you please help me out solve parts C, and D from question 11.6.2?

Exercise 11.6.2 Which of the following matrices define orthogonal transformations? Which ones define
isometries?
1 2
^-[(-1) = [-+ |- C- (2-1) [3]
] ( = 1/2
A =
1¼11
2
2
√5
2 -1
=
Transcribed Image Text:Exercise 11.6.2 Which of the following matrices define orthogonal transformations? Which ones define isometries? 1 2 ^-[(-1) = [-+ |- C- (2-1) [3] ] ( = 1/2 A = 1¼11 2 2 √5 2 -1 =
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