Question

matematica de matrizes​

Answer 1

5A é você pegar todos os elementos da Matriz A e multiplicar por 5, 3B é a mesma coisa, só que multiplicar por 3 os elementos da Matriz B, e assim vai:

a) 5A+3B

$5A \left[\begin{array}{ccc}10&-15\\20&-5\end{array}\right] + 3B \left[\begin{array}{ccc}0&3\\6&9\end{array}\right]\\\\\\\left[\begin{array}{ccc}10&-10\\26&4\end{array}\right]$

b) 6A-3B

$6A \left[\begin{array}{ccc}12&-18\\24&-6\end{array}\right] - 3B \left[\begin{array}{ccc}0&3\\6&9\end{array}\right]\\\\\\\left[\begin{array}{ccc}12&-15\\30&3\end{array}\right]$

c) A+5B-2C

$A \left[\begin{array}{ccc}2&-3\\4&-1\end{array}\right] + 5B \left[\begin{array}{ccc}0&5\\10&15\end{array}\right] - 2C \left[\begin{array}{ccc}-4&16\\2&-6\end{array}\right]\\\\\\\left[\begin{array}{ccc}2&-18\\16&8\end{array}\right]$