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Mathematics
Problem
For a
3
×
3
3\times3
3
×
3
linear system
A
X
=
Y
AX=Y
A
X
=
Y
with
det
(
A
)
≠
0
\det(A)\neq0
det
(
A
)
=
0
, explain why the value of
x
x
x
obtained from
X
=
A
−
1
Y
X=A^{-1}Y
X
=
A
−
1
Y
is identical to the value of
x
x
x
obtained using Cramer’s rule.
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