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Mathematics
Mathematics
Problem
Let
A
−
1
=
(
2
−
1
0
1
0
1
−
3
2
1
)
A^{-1}=\begin{pmatrix} 2 & -1 & 0 \\ 1 & 0 & 1 \\ -3 & 2 & 1 \end{pmatrix}
A
−
1
=
2
1
−
3
−
1
0
2
0
1
1
and let
A
X
=
Y
,
Y
=
(
4
−
1
2
)
,
X
=
(
x
y
z
)
.
A X = Y,\qquad Y=\begin{pmatrix} 4 \\ -1 \\ 2 \end{pmatrix},\; X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}.
A
X
=
Y
,
Y
=
4
−
1
2
,
X
=
x
y
z
.
Find the value of
x
x
x
. a) 8 b) 9 c) 7 d) 6
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