6R:6 7119 -6-62a) show that R is an orthogonal matrix.b) Find det R. If det R is 1, then R is a rotation, so find the axis of therotation (the eigenvector associated with the eigenvalue AR = -1, then R is a reflection, so find the normal to the mirror', thatis the reflecting plane. This mirror normal is the eigenvector associatedwith the eigenvalue A = -1.1). If det%3D

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9. 6 7 11 9 -6 R : -6 a) show that R is an orthogonal matrix. b) Find det R. If det R is 1, then R is a rotation, so find the axis of the rotation (the eigenvector associated with the eigenvalue A = 1). If det

9. 6 7 11 9 -6 R : -6 a) show that R is an orthogonal matrix. b) Find det R. If det R is 1, then R is a rotation, so find the axis of the rotation (the eigenvector associated with the eigenvalue A = 1). If det

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

6
R:
6 7
11
9 -6
-6
2
a) show that R is an orthogonal matrix.
b) Find det R. If det R is 1, then R is a rotation, so find the axis of the
rotation (the eigenvector associated with the eigenvalue A
R = -1, then R is a reflection, so find the normal to the mirror', that
is the reflecting plane. This mirror normal is the eigenvector associated
with the eigenvalue A = -1.
1). If det
%3D

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