Order of Hadamard Matrix

Theorem

Let $\mathbf A$ be a Hadamard matrix.

Then the order of $\mathbf A$ must either be $2$ or an integer multiple of $4$.

Proof

Let $\mathbf A$ be of order $n$.

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Hadamard matrix
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hadamard matrix