D=∣121221123∣=6+2+4−2−2−12=−4D=\begin{vmatrix} 1 & 2 & 1\\ 2 & 2 & 1\\ 1 & 2 &3 \end{vmatrix}=6+2+4-2-2-12=-4D=∣∣121222113∣∣=6+2+4−2−2−12=−4
Dx=∣521621923∣=30+18+12−18−36−10=−4D_x=\begin{vmatrix} 5 & 2&1 \\ 6& 2&1\\ 9&2&3 \end{vmatrix}=30+18+12-18-36-10=-4Dx=∣∣569222113∣∣=30+18+12−18−36−10=−4
Dy=∣151261193∣=18+18+5−6−30−9=−4D_y=\begin{vmatrix} 1&5&1\\2&6&1\\1&9&3 \end{vmatrix}=18+18+5-6-30-9=-4Dy=∣∣121569113∣∣=18+18+5−6−30−9=−4
Dz=∣125226129∣=18+20+12−10−36−12=−8D_z=\begin{vmatrix} 1&2&5\\2&2&6\\1&2&9 \end{vmatrix}=18+20+12-10-36-12=-8Dz=∣∣121222569∣∣=18+20+12−10−36−12=−8
x=Dx/D=(−4)/(−4)=1;x=D_x/D=(-4)/(-4)=1;x=Dx/D=(−4)/(−4)=1;
y=Dy/D=(−4)/(−4)=1;y=D_y/D=(-4)/(-4)=1;y=Dy/D=(−4)/(−4)=1;
z=Dz/D=(−8)/(−4)=2.z=D_z/D=(-8)/(-4)=2.z=Dz/D=(−8)/(−4)=2.
Answer:
x=1;y=1;z=2.x=1; y=1; z=2.x=1;y=1;z=2.
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