Question

Realize a operação. A.B -2B = *
é pra amanha pfv me ajudem

Answer 1

Resposta:

Opção 1

Explicação passo a passo:

$\left[\begin{array}{ c c c }1 & 2 & 3 \\7 & 8 & 9 \\10 & 11 & 12\end{ array }\right]$ x $\left[\begin{array}{ c c c }0 & 2 & 1 \\0 & 1 & 2 \\2 & 1 & 0\end{ array }\right]$ =

$\left[\begin{array}{ c c c }1*0+2*0+3*2 & 1*2+2*1+3*1 & 1*1+2*2+3*0 \\7*0+8*0+9*2 & 7*2+8*1+9*1 & 7*1+8*2+9*0 \\10*0+11*0+12*2 & 10*2+11*1+12*1 & 10*1+11*2+12*0\end{ array }\right]$

AB = $\left[\begin{array}{ c c c }16 & 7 & 5 \\18 & 31 & 23 \\24 & 43 & 32\end{ array }\right]$

2 x $\left[\begin{array}{ c c c }0 & 2 & 1 \\0 & 1 & 2 \\2 & 1 & 0\end{ array }\right]$ = $\left[\begin{array}{ c c c }0 & 4 & 2 \\0 & 2 & 4 \\4 & 2 & 0\end{ array }\right]$

AB - 2B = $\left[\begin{array}{ c c c }16 & 7 & 5 \\18 & 31 & 23 \\24 & 43 & 32\end{ array }\right]$ - $\left[\begin{array}{ c c c }0 & 4 & 2 \\0 & 2 & 4 \\4 & 2 & 0\end{ array }\right]$ = $\left[\begin{array}{ c c c }16 & 3 & 3 \\18 & 29 & 19 \\20 & 41 & 32\end{ array }\right]$

Resposta Final:

Opção 1 : $\left[\begin{array}{ c c c }16 & 3 & 3 \\18 & 29 & 19 \\20 & 41 & 32\end{ array }\right]$