Wolfram Language & System 11.0 (2016)|Legacy Documentation

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gives True if m is explicitly symmetric, and False otherwise.

Details and OptionsDetails and Options

  • A matrix m is symmetric if m==Transpose[m].
  • SymmetricMatrixQ works for symbolic as well as numerical matrices.
  • The following options can be given:
  • SameTestAutomaticfunction to test equality of expressions
    ToleranceAutomatictolerance for approximate numbers
  • For exact and symbolic matrices, the option SameTest->f indicates that two entries mij and mkl are taken to be equal if f[mij,mkl] gives True.
  • For approximate matrices, the option Tolerance->t can be used to indicate that all entries Abs[mij]t are taken to be zero.
  • For matrix entries Abs[mij]>t, equality comparison is done except for the last bits, where is $MachineEpsilon for MachinePrecision matrices and for matrices of Precision .
Introduced in 2008
| Updated in 2014