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IEVref: | 102-06-26 | ID: | |

Language: | en | Status: Standard | |

Term: | orthogonal matrix | ||

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Definition: | square matrix for which the inverse AA^{−1} is equal to the transpose matrix A^{T}Note 1 to entry: For an orthogonal matrix with elements $\sum _{i}{A}_{ij}}{A}_{ik}={\delta}_{jk$ and $\sum _{k}{A}_{ik}}{A}_{jk}={\delta}_{ij$ where δ | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO 2017-08-25: Corrected order of I and sub tags. LMO | ||

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Note 1 to entry: For an orthogonal matrix with elements *A _{ij}*:

$\sum _{i}{A}_{ij}}{A}_{ik}={\delta}_{jk$ and $\sum _{k}{A}_{ik}}{A}_{jk}={\delta}_{ij$

where δ_{jk} and δ_{ij} are Kronecker deltas.