65.124 SylvesterMat

SylvesterMat( n )

SylvesterMat returns the n by n Sylvester matrix of order n. This is a special case of the Hadamard matrices (see HadamardMat). For this construction, n must be a power of 2. Each call to SylvesterMat returns a new matrix, so it is safe to modify the result.

    gap> PrintArray(SylvesterMat(2));
    [ [   1,   1 ],
      [   1,  -1 ] ]
    gap> PrintArray( SylvesterMat(4) );
    [ [   1,   1,   1,   1 ],
      [   1,  -1,   1,  -1 ],
      [   1,   1,  -1,  -1 ],
      [   1,  -1,  -1,   1 ] ] 

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