Question

POR FAVOR ME AJUDAAA COM REGRA DE CRAMER resolve esse sistema por ffavor

{ 2x-3-z = 0
{-2x+y+2z =-9
{ 4x+2y+z = 1

Se der só os resultados já ta ótimo

Answer 1

$M_C= \left[\begin{array}{ccc}2&-3&-1\\-2&1&2\\4&2&1\end{array}\right] \\ \\ detM_C=2-24+4+4-6-8=-28\\ \\ M_X= \left[\begin{array}{ccc}0&-3&-1\\-9&1&2\\1&2&1\end{array}\right] \\ \\ detM_X=0-6+18+1-27=-14\\ \\ M_Y=\left[\begin{array}{ccc}2&0&-1\\-2&-9&2\\4&1&1\end{array}\right] \\ \\ detM_Y=-18+2-36-4=-56$

$M_Z= \left[\begin{array}{ccc}2&-3&0\\-2&1&-9\\4&2&1\end{array}\right] \\ \\ detM_Z=2+108-6+36=140\\ \\ x=\frac{detM_X}{detM_C}=\frac{-14}{-28}=2\\ \\ y=\frac{detM_Y}{detM_C}=\frac{-56}{-28}=2\\ \\ z=\frac{detM_Z}{detM_C}=\frac{140}{-28}=-5$