Question

Alguém me ajuda com essa questão de matriz, por favor!!​

Answer 1

$A=\left[\begin{array}{ccc}4&5&6\\7&8&9\\10&11&12\end{array}\right] B=\left[\begin{array}{ccc}0&-1&-4\\1&0&-1\\4&1&0\end{array}\right] C=\left[\begin{array}{ccc}0&-2&-4\\2&0&-2\\4&2&0\end{array}\right]\\\\ a) 3*\left[\begin{array}{ccc}4&5&6\\7&8&9\\10&11&12\end{array}\right] - \left[\begin{array}{ccc}0&-2&-4\\2&0&-2\\4&2&0\end{array}\right]= \left[\begin{array}{ccc}12&15&18\\21&24&27\\30&33&36\end{array}\right]$

$b) \left[\begin{array}{ccc}0&-1&-4\\1&0&-1\\4&1&0\end{array}\right]* \left[\begin{array}{ccc}0&-2&-4\\2&0&-2\\4&2&0\end{array}\right]= \left[\begin{array}{ccc}0&-24&-132\\15&0&-33\\60&24&0\end{array}\right]$

$c) 3*\left[\begin{array}{ccc}0&-1&-4\\1&0&-1\\4&1&0\end{array}\right] - 4*\left[\begin{array}{ccc}0&-2&-4\\2&0&-2\\4&2&0\end{array}\right]= \left[\begin{array}{ccc}0&-8&-16\\8&0&-8\\16&8&0\end{array}\right] - \left[\begin{array}{ccc}0&11&28\\-5&0&11\\-4&-5&0\end{array}\right]=\left[\begin{array}{ccc}0&11&28\\-5&0&11\\-4&-5&0\end{array}\right]$

$d) 2*\left[\begin{array}{ccc}4&5&6\\7&8&9\\10&11&12\end{array}\right] - 3*\left[\begin{array} {ccc}0&-1&-4\\1&0&-1\\4&1&0\end{array}\right]+4*\left[\begin{array}{ccc}0&-2&-4\\2&0&-2\\4&2&0\end{array}\right]=\left[\begin{array}{ccc}4&0&2\\12&8&4\\14&16&12\end{array}\right]$