> [!Definition] > Given a [[Matrix|matrix]] $A\in \text{Mat}_{mn}$ be a [[Real Square Matrices|square matrix]]. We write $A^{2}$ for the [[Matrix Product|product]] $AA$. Similarly, for any $n\in \mathbb{Z}^{+}$ we write $A^{n}$ for the product $\overbrace{AA\dots A}^{\text{n times}}$ See [[Diagonalisation of Square Matrix]].