Question

Sejam as matrizes

F= $\left[\begin{array}{ccc}-20&2&1\\1&-30&2\\0&1&-40\end{array}\right]$ e G= $\left[\begin{array}{ccc}2&-20&10\\-10&3&-20\\0&-10&4\end{array}\right]$

A operação (-2F + G) x (-3) resulta na matriz?

Answer 1

Vamos passo a passo

                 $-2F=\left[\begin{array}{ccc}40&-4&-2\\-2&60&-4\\0&-2&80\end{array}\right] \\ \\ \\ (-2F+G)x(-3) \\ \\ =-3x \left[\begin{array}{ccc}40+2&-4-20&-2+10\\-2-10&60+3&-4-20\\0+0&-2-10&80+4\end{array}\right] \\ \\ \\ =-3x \left[\begin{array}{ccc}42&-24&8\\-12&63&-24\\0&-12& 84\end{array}\right]$


                 $= \left[\begin{array}{ccc}-126&72&-24\\36&-189&72\\0&-36&152\end{array}\right]$  RESULTADO FINAL