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    Euclidean Group : Forming a Group under Matrix Multiplication

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    The Euclidean group is defined as

    E3 ={X R 4 4 | X = , R O3, t R 3}

    Where

    O3 is a 3 3 orthogonal matrix, therefore R is an element in O3.

    R 4 4 means real 4 4 matrix vector space.

    R 3 means real 3-dimensional vector space.

    0 in the is 0 0 0, so that X is a 4 4 matrix.

    Show the set E3 forms a group under matrix multiplication.

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    https://brainmass.com/math/matrices/euclidean-group-forming-group-under-matrix-multiplication-20120

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    The Euclidean group is defined as

    E3 ={X R 4 4 | X = , R O3, t R 3}

    Where

    O3 is a 3 3 orthogonal matrix, therefore R is an element in O3.

    R 4 4 means real 4 4 matrix vector space.

    R 3 means real 3-dimensional vector space.

    0 in the ...

    Solution Summary

    A Euclidean group is investigated. The solution is detailed.

    $2.49

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