Definition:Involutory Matrix

Definition

Let $\mathbf A$ be a square matrix of order $n$.

$\mathbf A$ is an involutory matrix if and only if:

$\mathbf A^2 = \mathbf I_n$

where $\mathbf I_n$ is the identity matrix of order $n$.

Also see

• Results about involutory matrices can be found here.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): involutory