Question
If A = , B = then find the matrix C such that A + B + C is a zero matrix.
$\begin{aligned} & =-\left[\begin{array}{ccc}1 & 2 & -3 \\ -3 & 7 & -8 \\ 0 & -6 & 1\end{array}\right]+\left[\begin{array}{ccc}9 & -1 & 2 \\ -4 & 2 & 5 \\ 4 & 0 & -3\end{array}\right] \\ & =-\left[\begin{array}{ccc}1+9 & 2-1 & -3+2 \\ -3-4 & 7+2 & -8+5 \\ 0+4 & -6+0 & 1-3\end{array}\right] \\ & =-\left[\begin{array}{ccc}10 & 1 & -1 \\ -7 & 9 & -3 \\ 4 & -6 & -2\end{array}\right] \\ & =\left[\begin{array}{ccc}-10 & -1 & 1 \\ 7 & -9 & 3 \\ -4 & 6 & 2\end{array}\right]\end{aligned}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.