Question 230595
Let *[Tex \LARGE A=\begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix}]



*[Tex \LARGE A^2=A\cdot A = \begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix}\begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix}=\begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix} = \begin{bmatrix} 1\cdot 1+0\cdot 0 & 1\cdot 0+0\cdot 0 \\ 0\cdot 1+0\cdot 0 & 0\cdot 0+0\cdot 0 \end{bmatrix} = \begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix}]


So *[Tex \LARGE A^2=A] where *[Tex \LARGE A=\begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix}]