Question

por favor me ajudem pessoal urgente. Des de ja agradeço
calcule 5A se a= $\left[\begin{array}{ccc}0&1&-1\\2&3&7\end{array}\right]$

Answer 1

Quando uma matriz é multiplicada por um escalar α, todos os seus elementos também são multiplicados por α

$X=\left[\begin{array}{ccc}x_{11}&x_{12}&x_{13}\\x_{21}&x_{22}&x_{23}\\x_{31}&x_{32}&x_{33}\end{array}\right]~~~~~~~\therefore~~~~~~~\alpha X=\left[\begin{array}{ccc}\alpha x_{11}&\alpha x_{12}&\alpha x_{13}\\\alpha x_{21}&\alpha x_{22}&\alpha x_{23}\\\alpha x_{31}&\alpha x_{32}&\alpha x_{33}\end{array}\right]$
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$A=\left[\begin{array}{ccc}0&1&-1\\2&3&7\end{array}\right]\\\\\\A=\left[\begin{array}{ccc}5(0)&5(1)&5(-1)\\5(2)&5(3)&5(7)\end{array}\right]\\\\\\\boxed{\boxed{A=\left[\begin{array}{ccc}0&5&-5\\10&15&35\end{array}\right]}}$