Question 960278
Use Cramer's rule.
{{{A=(matrix(3,3,
1,1,-1,
4,-3,2,
2,-2,-3))}}}
{{{abs(A)=31}}}
.
.
{{{A[x]=(matrix(3,3,
-1,1,-1,
16,-3,2,
5,-2,-3))}}}
{{{abs(A[x])=62}}}
.
.
{{{A[y]=(matrix(3,3,
1,-1,-1,
4,16,2,
2,5,-3))}}}
{{{abs(A[y])=-62}}}
.
.
{{{A[z]=(matrix(3,3,
1,1,-1,
4,-3,16,
2,-2,5))}}}
{{{abs(A[z])=31}}}
.
.
.
{{{x=abs(A[x])/abs(A)=62/31=2}}}
.
.
{{{y=abs(A[y])/abs(A)=-62/31=-2}}}
.
.
{{{z=abs(A[z])/abs(A)=31/31=1}}}