6. Write a function EXPCR( ) which accepts a 3 × 1 vector x = the 3 x 3 rotation matrix which represents a rigid-body rotation of angle ||x|| radians about the fixed axis n = x/||x||. Your function should use SKEW3( ) and Rodrigues' formula (FYI, using the built-in function EXPM() will be the same). Note that when using Rodrigues' formula, your code has to be general enough to include all possible x's. [x1,x2, x3]. The function should return

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.4: Linear Independence And Linear Dependence
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6. Write a function EXPCR ( ) which accepts a 3 x 1 vector x = [x1, x2, x3]1. The function should return
the 3 x 3 rotation matrix which represents a rigid-body rotation of angle ||x|| radians about the fixed
axis n =
x/||x||. Your function should use SKEW3( ) and Rodrigues' formula (FYI, using the built-in
function EXPM() will be the same). Note that when using Rodrigues' formula, your code has to be
general enough to include all possible x's.
Transcribed Image Text:6. Write a function EXPCR ( ) which accepts a 3 x 1 vector x = [x1, x2, x3]1. The function should return the 3 x 3 rotation matrix which represents a rigid-body rotation of angle ||x|| radians about the fixed axis n = x/||x||. Your function should use SKEW3( ) and Rodrigues' formula (FYI, using the built-in function EXPM() will be the same). Note that when using Rodrigues' formula, your code has to be general enough to include all possible x's.
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