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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
HadamardMatrix
HadamardMatrix[n]
returns an n×n Hadamard matrix.
Details and OptionsDetails and Options
- Each entry
of the Hadamard matrix is by default defined as
, where
,
is the 
bit in the binary representation of the integer
, and
. - Rows or columns of the HadamardMatrix are basis sequences of the discrete Hadamard transform.
- A Hadamard matrix is its own inverse.
- HadamardMatrix takes an option
. Sequency is the number of zero crossings of the Hadamard basis sequences. The default is "SequencyOrdered"->True where the sequency increases with row or column index. With "SequencyOrdered"->False,
. - HadamardMatrix[..., WorkingPrecision->p] gives a matrix with entries of precision p.
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