Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.1

Key idea

For an n×nn\times n identity matrix InI_n:

InA=A,AIn=AI_nA=A,\qquad AI_n=A

This follows from the Kronecker delta identity:

δik={1,i=k0,ik\delta_{ik}=\begin{cases}1,& i=k\\0,& i\ne k\end{cases}