Meaning of orthogonal

or•thog•o•nal

Pronunciation: (ôr-thog'u-nl), [key]
— adj.
  1. an orthogonal projection.
    1. Also,orthographic.pertaining to or involving right angles or perpendiculars:an orthogonal projection.
    2. (of a system of real functions) defined so that the integral of the product of any two different functions is zero.
    3. (of a system of complex functions) defined so that the integral of the product of a function times the complex conjugate of any other function equals zero.
    4. (of two vectors) having an inner product equal to zero.
    5. (of a linear transformation) defined so that the length of a vector under the transformation equals the length of the original vector.
    6. (of a square matrix) defined so that its product with its transpose results in the identity matrix.
  2. referable to a rectangular set of axes.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.
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