Question 988389
Use Cramer's rule,
{{{A=(matrix(3,3,
1,1,1,
2,4,2,
-1,9,-3))}}}
{{{abs(A)=-4}}}
.
.
.
{{{A[x]=(matrix(3,3,
19/9,1,1,
40/9,4,2,
-20/9,9,-3))}}}
{{{abs(A[x])=-32/9}}}
.
.
.
{{{A[y]=(matrix(3,3,
1,19/9,1,
2,40/9,2,
-1,-29/9,-3))}}}
{{{abs(A[y])=-4/9}}}
.
.
.
{{{A[z]=(matrix(3,3,
1,1,19/9,
2,4,40/9,
-1,9,-29/9))}}}
{{{abs(A[z])=-40/9}}}
.
.
.
{{{x=abs(A[x])/abs(A)=(-32/9)/(-4)=8/9}}}
{{{y=abs(A[y])/abs(A)=(-4/9)/(-4)=1/9}}}
{{{z=abs(A[z])/abs(A)=(-40/9)/(-4)=10/9}}}