![\left[\begin{array}{ccc}3&2&4\\1&-1&-2\\1&2&-3\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%262%264%5C%5C1%26-1%26-2%5C%5C1%262%26-3%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}3&2&4\\1&-1&-2\\1&2&-3\end{array}\right]")
Δ=3*(-1)*(-3)+2*1*(-2)+1*2*4-4*1*(-1)-1*2*(-3)-2*3*(-2)=9-4+8+4+6+12=35
![\left[\begin{array}{ccc}0&2&4\\1&-1&-2\\3&2&-3\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%262%264%5C%5C1%26-1%26-2%5C%5C3%262%26-3%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}0&2&4\\1&-1&-2\\3&2&-3\end{array}\right]")
Δ1= 0*(-1)*(-3)+2*3*(-2)+1*2*4-4*3*(-1)-1*2*(-3)-2*0*(-2)=0-12+8+12+6-0=14
![\left[\begin{array}{ccc}3&0&4\\1&1&-2\\1&3&-3\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%260%264%5C%5C1%261%26-2%5C%5C1%263%26-3%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}3&0&4\\1&1&-2\\1&3&-3\end{array}\right]")
Δ2=3*1*(-3)+0*1*(-2)+1*3*4-4*1*1-1*0*(-3)-3*3*(-2)=-9-0+12-4-0+18=17
![\left[\begin{array}{ccc}3&2&0\\1&-1&1\\1&2&3\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%262%260%5C%5C1%26-1%261%5C%5C1%262%263%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}3&2&0\\1&-1&1\\1&2&3\end{array}\right]")
Δ3=3*(-1)*3+2*1*1+1*2*0-0*1*(-1)-1*2*3-2*3*1=-9+2+0-0-6-6=-19
x=Δ1/Δ=14/35=2/5
y=Δ2/Δ=17/35
z=Δ3/Δ=-19/35