Question

sao dadas as matrizes A=(aij) e B(bij), quadradas de ordem 2, com aij=3i+4j e bij= -4i-3j. considere C=a+b, calcule a matriz C

Answer 1

$a11=3*1+4*1=7 \\ a12=3*1+4*2=11\\ a21=3*2+4*1=10 \\ a22=3*2+4*2=14 \\ A= \left[\begin{array}{ccc}7&11\\10&15\end{array}\right] \\ b11=-4*1-3*1=-7 \\ b12=-3*1-4*2=-11 \\ b21=-3*2-3*1=-10 \\ b22=-4*2-3*2=-14 \\ B=\left[\begin{array}{ccc}-7&-11\\-10&-15\end{array}\right] \\ A+B=C \\ \left[\begin{array}{ccc}7&11\\10&15\end{array}\right]+\left[\begin{array}{ccc}-7&-11\\-10&-15\end{array}\right]=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]=C$