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*This function gives the matrix satisfying the property of Hadamard.
*This function gives the matrix satisfying the property of Hadamard.
*A Hadamard matrix is the square matrix with the entries of 1 and -1.
*A Hadamard matrix is the square matrix with the entries of 1 and -1.
*Also the rows of that matrix are orthogonal.Let H be a Hadamard matrix of order n.
*Also the rows of that matrix are orthogonal.
*So H be a Hadamard matrix of order 2n.
*The transpose of H is closely related to its inverse.
*The transpose of H is closely related to its inverse.
*The equivalent definition for hadamard matrix is:
*The equivalent definition for hadamard matrix is:
where <math>I_{n}</math> is the n × n identity matrix and <math>H^T</math> is the transpose of H.
where <math>I_{n}</math> is the n × n identity matrix and <math>H^T</math> is the transpose of H.
*So the possible order of the matrix is 1,2 or positive multiple of 4.
*So the possible order of the matrix is 1,2 or positive multiple of 4.
*The examples of hadamard matrices are:
*The few examples of hadamard matrices are:
*<math>H_1=\begin{bmatrix}
1 \\
\end{bmatrix}
*H_2 = \begin{bmatrix}
1 & 1 \\
1 & -1 \\
\end{bmatrix}
*H_3 =\begin{bmatrix}
1 & 1 & 1 & 1 \\
1 & -1 & 1 & -1\\
1 & 1 & -1 & -1 \\
1 & -1 & -1 & 1\\
\end{bmatrix}</math>