Orthogonal Group
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the orthogonal group of degree n over a field F (written as O(n,F)) is the group of n-by-n orthogonal matrices with entries from F, with the group operation that of matrix multiplication. More generally the orthogonal group of a non-singular quadratic form over F is the group of linear operators preserving the form (the above group O(n,F) is then the orthogonal group of the sum-of-n-squares quadratic form). The Cartan Dieudonné theorem describes the s...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the orthogonal group of degree n over a field F (written as O(n,F)) is the group of n-by-n orthogonal matrices with entries from F, with the group operation that of matrix multiplication. More generally the orthogonal group of a non-singular quadratic form over F is the group of linear operators preserving the form (the above group O(n,F) is then the orthogonal group of the sum-of-n-squares quadratic form). The Cartan Dieudonné theorem describes the structure of the orthogonal group.
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