Question

Calcule o produto A.B.C, sendo dadas: A= |1 2|, B= |1 1 1|, C- |3 1| |5 1| |3 2 1| |1 0| |2 -1|

Answer 1

$Produto\: de\: Matrizes \\ \\ Ex: \left[\begin{array}{ccc}4& 3\\6&8\end{array}\right] . \left[\begin{array}{ccc}3&2\\7&6\end{array}\right] \\ \\ Multiplica\: e\: soma\: os\: elementos\: i\: linhas\: com\: j\: colunas \\ \\ Temos: \\ (4.3) + (3.7) = 33 \\ (4.2) + (3.6) = 26 \\ (6.3) + (8.7) = 74 \\ (6.2) + (8.6) = 60\\ \\ Logo; \left[\begin{array}{ccc}33&26\\74&60\end{array}\right]$

$A\: . \: B\: .\: C \\ \\ \left[\begin{array}{ccc}1&2\\5&1\end{array}\right] . \left[\begin{array}{ccc}1&1&1\\3&2&1\end{array}\right] . \left[\begin{array}{ccc}3&1\\1&0\\2& - 1\end{array}\right] \\ \\ \left[\begin{array}{ccc}7&5&3\\8&7&6\end{array}\right] . \left[\begin{array}{ccc}3&1\\1&0\\2& - 1\end{array}\right] = \left[\begin{array}{ccc}32&4\\43&2\end{array}\right]$