Question

Dada as matrizes A,B,C e D,determine : C) A vezes C Apenas preciso da resposata da letra C! Observar á imagem

Answer 1

Explicação passo-a-passo:

$\sf A\cdot C=\left[\begin{array}{cc} \sf 1&\sf -9 \\ \sf -5&\sf 6\end{array}\right]\cdot\left[\begin{array}{ccc} \sf 1&\sf 0&\sf 3 \\ \sf -1&\sf 0&\sf -3\end{array}\right]$

$\sf A\cdot C=\left[\begin{array}{ccc} \sf 1\cdot1+(-9)\cdot(-1)&\sf 1\cdot0+(-9)\cdot0&\sf 1\cdot3+(-9)\cdot(-3) \\ \sf -5\cdot1+6\cdot(-1)& \sf -5\cdot0+6\cdot0&\sf -5\cdot3+6\cdot(-3)\end{array}\right]$

$\sf A\cdot C=\left[\begin{array}{ccc} \sf 1+9&\sf 0-0&\sf 3+27 \\ \sf -5-6&\sf -0+0&\sf -15-18\end{array}\right]$

$\red{\sf A\cdot C=\left[\begin{array}{ccc} \sf 10&\sf 0&\sf 30 \\ \sf -11&\sf 0&\sf -33\end{array}\right]}$