10. Determine, with justification, whether the following matrices represents a rigid body rotation (twoconditions: det(A) = 1 and A" A = AA" = I). If so, use the eigenvector method to determine its axis ofrotation, fîn. Use the Angle formula to calculate the angle of rotation. .1A =| 00 -1[-1 0

The given matrix is A=01000-1-100. We have to justify that the given matrix represents a rigid body…

Answered: Angle formula to calculate the angle of…

Math

Advanced Math

Angle formula to calculate the angle of rotation.

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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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

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10. Determine, with justification, whether the following matrices represents a rigid body rotation (two
conditions: det(A) = 1 and A" A = AA" = I). If so, use the eigenvector method to determine its axis of
rotation, fîn. Use the Angle formula to calculate the angle of rotation. .
1
A =| 0
0 -1
[-1 0

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