Note that matrix A is said to be Involutory if
, where I is an Identity matrix of same order as of A.
Lets take an example of Involutory matrix.
Lets calculate
Therefore, we can see that
which means A is Involutory matrix.
Like the example given above. We can have infinite number of other examples of matrices which are involutory.
[…] A is said to be Involutory if {A^2} = I where, I is an Identity […]