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Finite Math
Solve the Matrix Equation [[1,x],[y,-2],[2,z]]=[[1,2],[5,-2],[-3,4]]
⎡
⎢
⎣
1
x
y
−
2
2
z
⎤
⎥
⎦
=
⎡
⎢
⎣
1
2
5
−
2
−
3
4
⎤
⎥
⎦
[
1
x
y
-
2
2
z
]
=
[
1
2
5
-
2
-
3
4
]
Step 1
Write as a linear
system of equations
.
1
=
1
1
=
1
x
=
2
x
=
2
y
=
5
y
=
5
−
2
=
−
2
-
2
=
-
2
2
=
−
3
2
=
-
3
z
=
4
z
=
4
Step 2
Since
2
≠
−
3
2
≠
-
3
, the
matrix
equation
has no
solution
.
No
solution
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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