For each of the following matrices, find its determinant to see whether it produces a rotation or a reflection. If a rotation, find the axis and angle of rotation. If a reflection, find the reflecting plane and the rotation (if any) about the normal to this plane. 32. 0 :)) 0 0 0-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 17E
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For each of the following matrices, find its determinant to see whether it produces a
rotation or a reflection. If a rotation, find the axis and angle of rotation. If a reflection,
find the reflecting plane and the rotation (if any) about the normal to this plane.
32.
3
0 0
G÷
-1
0
Transcribed Image Text:For each of the following matrices, find its determinant to see whether it produces a rotation or a reflection. If a rotation, find the axis and angle of rotation. If a reflection, find the reflecting plane and the rotation (if any) about the normal to this plane. 32. 3 0 0 G÷ -1 0
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