On the Decomposition of Orthogonalities into Symmetries
نویسنده
چکیده
Two vectors a and b are called perpendicular if a'Gb = 0. Two subspaces yt* and 9f** are perpendicular if x'Gy = 0 for all xC9i*, yC9t**Obviously, these relations are symmetric. The vectors perpendicular to a given vector respectively to a given wz-space form an (n — 1)space, respectively in — ra)-space. We call the matrix T orthogonal if it leaves the expression x'Gy unchanged for all x and y. This condition is equivalent to
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تاریخ انتشار 2010