Question

4) Dadas as matrizes A = [[0, 4, - 2], [6, 2, 8]] das seguintes operações: a) 2B - C B = [[- 3, 6, 9], [12, - 6, 0]] * eC = [[0, - 1, 0], [1, - 1, 2]] B) A - 2C calcule o resultado​

Answer 1

Resposta:

a)

$2B-C=2\left[\begin{array}{ccc}-3&6&9\\12&-6&0\end{array}\right] -\left[\begin{array}{ccc}0&-1&0\\1&-1&2\end{array}\right] \\ \\ \\ 2B-C=\left[\begin{array}{ccc}-6&12&18\\24&-12&0\end{array}\right] -\left[\begin{array}{ccc}0&-1&0\\1&-1&2\end{array}\right] \\ \\ \\ 2B-C=\left[\begin{array}{ccc}-6-0&12-(-1)&0-2)\\24-1&-12-(-1)&0-2\end{array}\right] \\ \\ \\\\ 2B-C=\left[\begin{array}{ccc}-6&13&18\\23&-11&-2\end{array}\right]$

b)

$A-2C=\left[\begin{array}{ccc}0&4&-2\\6&2&8\end{array}\right] -2\left[\begin{array}{ccc}0&-1&0\\1&-1&2\end{array}\right] \\ \\ \\ A-2C=\left[\begin{array}{ccc}0&4&-2\\6&2&8\end{array}\right] +\left[\begin{array}{ccc}0&2&0\\-2&2&-4\end{array}\right] \\ \\ \\ A-2C=\left[\begin{array}{ccc}0&6&-2\\4&4&4\end{array}\right]$