Question

Dada a matriz abaixo determine 3A+2A

Answer 1

primeiro calculamos 2A

$2. \left[\begin{array}{ccc}6&3&-2\\-5&2&8\\\end{array}\right] = \left[\begin{array}{ccc}12&6&-4\\-10&4&16\\\end{array}\right]$

agora calculamos 3A

$3. \left[\begin{array}{ccc}6&3&-2\\-5&2&8\\\end{array}\right] = \left[\begin{array}{ccc}18&9&-6\\-15&6&24\\\end{array}\right]$

por fim , é só somar as matrizes obtidas acima

$\left[\begin{array}{ccc}12&6&-4\\-10&4&16\\\end{array}\right] + \left[\begin{array}{ccc}18&9&-6\\-15&6&24\\\end{array}\right] = \boxed{ \left[\begin{array}{ccc}30&15&-10\\-25&10&40\\\end{array}\right] }$