Question 1015259
Use Cramer's rule,
{{{A=(matrix(3,3,
1,1,1,
2,5,2,
-1,8,-3))}}}
{{{abs(A)=-6}}}
.
.
{{{A[x]=(matrix(3,3,
2,1,1,
4,5,2,
8,8,-3))}}}
{{{abs(A[x])=-42}}}
.
.
{{{A[y]=(matrix(3,3,
1,2,1,
2,4,2,
-1,8,-3))}}}
{{{abs(A[y])=0}}}
.
.
{{{A[z]=(matrix(3,3,
1,1,2,
2,5,4,
-1,8,8))}}}
{{{abs(A[z])=30}}}
.
.
{{{x=abs(A[x])/abs(A)=(-42)/(-6)=7}}}
{{{y=abs(A[y])/abs(A)=(0)/(-6)=0}}}
{{{z=abs(A[z])/abs(A)=(30)/(-6)=-5}}}