Powers of a square matrix for JEE

Formula

\(A^n=A\cdot A\cdots A\) (\(n\) factors), with \(A^0=I\).

Variables: \(A\): square matrix, \(n\in\mathbb{N}\cup\{0\}\).

Conditions: Defined only for square matrices.

Recurrence relations, algebraic identities in matrices.