A+B=(2 -3 4 1) Dan A.B+B.A=(4 2 5 3) Maka A^2+B^2=....

Dalam definisi matriks, akan diperoleh bentuk berikut:
[tex]$\begin{align}(A+B)^2&=A^2+AB+BA+B^2 \\ A^2+B^2&=(A+B)^2-(AB+BA) \\ A^2+B^2&=\left[\begin{array}{cc}2&-3&4&1\end{array}\right]^2 - \left[\begin{array}{cc}4&2&5&3\end{array}\right] \\ A^2+B^2&=\left[\begin{array}{cc}-8&-9&12&-11\end{array}\right]-\left[\begin{array}{cc}4&2&5&3\end{array}\right] \\ A^2+B^2&=\left[\begin{array}{cc}-12&-11&7&-14\end{array}\right]\end{align}[/tex]