Question

what's a periodic matrix?
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Answer 1

Answer:

In mathematics, a periodic matrix set is a set of square matrices in which each square matrix is of a different size, and such that each cell within each matrix within a set contains data associated with some type of periodic distribution.

Answer 2

Answer:

Periodic Matrix : A periodic matrix is defined as a square matrix such that

$\text{the matrix power }A^{k+1}=A$

for k which can be taken as any positive integer.

Also, If k is the least such positive integer then the square matrix is said to periodic matrix with the period k

For example : If k = 1

$\implies A^{k+1}\\\\\implies A^{1+1}$

⇒ A² = A

So, A is the idempotent matrix.