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Det

  • Det[ m ] gives the determinant of the square matrix m.
  • Det[ m , Modulus-> n ] computes the determinant modulo n.
  • See the Mathematica book: Section 1.8.3Section 3.7.7.
  • See also Implementation NotesA.9.44.27MainBookLinkOldButtonDataA.9.44.27Implementation NotesA.9.44.29MainBookLinkOldButtonDataA.9.44.29.
  • See also: Minors, RowReduce, NullSpace, Signature.

    Further Examples

    This is the determinant of a x matrix.

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    This is the determinant of the same matrix over the integers modulo 9.

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    This is the determinant of a 15 x 15 matrix.

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    This genarates a randomly generated 20 x 20 matrix and times how long that takes. The coefficients of the matrix have 50 digits of precision, and lie in the region of the complex plane defined by -10 < Re(z) < 10, -10 < Im(z) < 10.

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    This computes the determinant of the matrix and again times the calculation.

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    This is a different type of matrix. The entries are Gaussian integers with real and imaginary parts between and .

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    Here is its determinant and how long it takes to calculate it.

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