Question Number 152150 by timila1127 last updated on 26/Aug/21
Answered by puissant last updated on 26/Aug/21
![(AB)C= [((4 3)),((8 7)) ] [((3 1)),((1 2)) ] = [((12+8 9+7)),((4+16 3+14)) ] = [((20 16)),((20 17)) ]](https://www.tinkutara.com/question/Q152152.png)
$$\left({AB}\right){C}=\begin{bmatrix}{\mathrm{4}\:\:\:\:\:\:\mathrm{3}}\\{\mathrm{8}\:\:\:\:\:\:\mathrm{7}}\end{bmatrix}\begin{bmatrix}{\mathrm{3}\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\mathrm{2}}\end{bmatrix} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\begin{bmatrix}{\mathrm{12}+\mathrm{8}\:\:\:\:\:\:\:\:\mathrm{9}+\mathrm{7}}\\{\mathrm{4}+\mathrm{16}\:\:\:\:\:\:\mathrm{3}+\mathrm{14}}\end{bmatrix} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\begin{bmatrix}{\mathrm{20}\:\:\:\:\:\mathrm{16}}\\{\mathrm{20}\:\:\:\:\:\mathrm{17}}\end{bmatrix} \\ $$