Consider the following rotation matrix R: [0.354 a b. R = d 0.475 C e 0.160 f The ratio between b and d is 0.89, and b> 0. (i). Find the values of a, b, c, d, e, f. (ii). Verify that the obtainedR is a rotation matrix within some rounding errors.
Consider the following rotation matrix R: [0.354 a b. R = d 0.475 C e 0.160 f The ratio between b and d is 0.89, and b> 0. (i). Find the values of a, b, c, d, e, f. (ii). Verify that the obtainedR is a rotation matrix within some rounding errors.
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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Q4
![Consider the following rotation matrix R:
0.354
a
b.
R =
d
0.475
%3D
0.160
f
The ratio between b and d is 0.89, and b> 0.
(i). Find the values of a, b, c, d, e, f.
(ii). Verify that the obtainedR is a rotation matrix within some rounding
errors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89f75295-47cb-4f0a-9cfe-aae9c5869e01%2Fbe1765e8-27b0-470d-b3fd-ad725daa4a58%2Fgqw0ohs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following rotation matrix R:
0.354
a
b.
R =
d
0.475
%3D
0.160
f
The ratio between b and d is 0.89, and b> 0.
(i). Find the values of a, b, c, d, e, f.
(ii). Verify that the obtainedR is a rotation matrix within some rounding
errors.
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