Example - Transform the given position vector [ 3 21 1] by the following sequence of operations (i) Translate by -1, -1, -1 in x, y, and z respectively (ii) Rotate by +30° about x-axis The concatenated transformation matrix is: [T] = [T,, ][T,x(30)1 = 1 0 0 -1 1 0 10 -1 0 cose -sin 0 0 0 0 1 -1 0sine cose 0 0 0 0 1

Example - Transform the given position vector [ 3 21 1] by the following sequence of operations (i) Translate by -1, -1, -1 in x, y, and z respectively (ii) Rotate by +30° about x-axis The concatenated transformation matrix is: [T] = [T,, ][T,x(30)1 = 1 0 0 -1 1 0 10 -1 0 cose -sin 0 0 0 0 1 -1 0sine cose 0 0 0 0 1

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 12CM

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