9514 1404 393
Answer:
B = [[8, 6][12, 14]]
Step-by-step explanation:
Subtract A from both sides to get ...
A² -A = A+B -A = B
Factor out A, and you have ...
A(A -I) = B . . . . . where I is the 2×2 identity matrix
[tex]\left[\begin{array}{cc}1&2\\4&3\end{array}\right] \cdot\left[\begin{array}{cc}0&2\\4&2\end{array}\right]=\left[\begin{array}{cc}8&6\\12&14\end{array}\right]=\textbf{B}[/tex]
