Question 1020456
Use Cramer's rule,
{{{A=(matrix(3,3,
1/2,-1/3,-1/2,
1/3,-1/4,1/3,
1/4,-1/5,1/4))}}}
{{{abs(A)=1/240}}}
.
.
.
{{{A[x]=(matrix(3,3,
1/10,-1/3,-1/2,
1/8,-1/4,1/3,
1/10,-1/5,1/4))}}}
{{{abs(A[x])=1/3600}}}
.
.
.
{{{A[y]=(matrix(3,3,
1/2,1/10,-1/2,
1/3,1/8,1/3,
1/4,1/10,1/4))}}}
{{{abs(A[y])=-1/480
}}}
.
.
.

{{{A[z]=(matrix(3,3,
1/2,-1/3,1/10,
1/3,-1/4,1/8,
1/4,-1/5,1/10))}}}
{{{abs(A[z])=1/3600}}}
.
.
.
{{{x=abs(A[x])/abs(A)=(-1/3600)/(1/240)=-1/15}}}
{{{y=abs(A[y])/abs(A)=(-1/480)/(1/240)=-1/2}}}
{{{z=abs(A[z])/abs(A)=(1/3600)/(1/240)=1/15}}}