Question 784640
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If you have a 2X2 matrix:


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ A\ =\ \left|\begin{matrix}a_{11}\ a_{12}\\ a_{21}\ a_{22}\end{matrix}\right|]


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ A^2\ =\ \left|\begin{matrix}X_{11}\ X_{12}\\ X_{21}\ X_{22}\end{matrix}\right|]


Where


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ X_{11}\ =\ a_{11}\,*\,a_{11}\,+\,a_{21}\,*\,a_{21}] 


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ X_{12}\ =\ a_{11}\,*\,a_{12}\,+\,a_{12}\,*\,a_{22}]


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ X_{21}\ =\ a_{21}\,*\,a_{11}\,+\,a_{22}\,*\,a_{21}]


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ X_{22}\ =\ a_{21}\,*\,a_{12}\,+\,a_{22}\,*\,a_{22}]


So if 


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ A\ =\ \left|\begin{matrix} \,2\ \ \ 2\\\,2\,-2\end{matrix}\right|]


Then


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ A^2\ =\ \left|\begin{matrix}8\ 0\\ 0\ 8\end{matrix}\right|]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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