Operations in group theory are actually transformation matrices. For example, in C4v, a od operation (in...
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Operations in group theory are actually transformation matrices. For example, in C4v, a od operation (in the plane of the paper) would be represented by a 5x5 matrix: 5 5 10 100 01 12 411 3 1 0 0 0 0 2 2 000 1 0 × 3 = 0 0 1 00 4 10 0 0 0 1 12345 21435 For the following exercises, name the given operation and determine the transformation. matrix in the given symmetry. in Oh 5 31.12 4 51 2 1 3 6 6 4 Operations in group theory are actually transformation matrices. For example, in C4v, a od operation (in the plane of the paper) would be represented by a 5x5 matrix: 5 5 10 100 01 12 411 3 1 0 0 0 0 2 2 000 1 0 × 3 = 0 0 1 00 4 10 0 0 0 1 12345 21435 For the following exercises, name the given operation and determine the transformation. matrix in the given symmetry. in Oh 5 31.12 4 51 2 1 3 6 6 4
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SOLUTION The operation you have given is a rotation in the plane of the paper by 90 degrees counterc... View the full answer
Related Book For
Governmental and Nonprofit Accounting
ISBN: 978-0132751261
10th edition
Authors: Robert Freeman, Craig Shoulders, Gregory Allison, Robert Smi
Posted Date:
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