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the_inverse [2016/02/24 16:06] – rupert		the_inverse [2016/02/24 16:11] (current) – rupert
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-	If $A$ is an [[invertible]] $n\times n$ matrix, then the unique $n\times n$ matrix $A^{-1}$ with $AA^{-1}=I_n=A^{-1}A$ is called the inverse of $A$, and this is what we mean whenever we write $A^{-1}$.	+	If $A$ is an [[invertible]] $n\times n$ matrix, then the unique $n\times n$ matrix $C$ with $AC=I_n=CA$ is called the inverse of $A$. If $A$ is invertible, then we write $A^{-1}$ to mean the (unique) inverse of $A$.