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Byju's Answer
Standard XII
Mathematics
Matrix Definition and Representation
If [ xy ...
Question
If
[
x
y
4
z
+
6
x
+
y
]
=
[
8
w
0
6
]
, then find the values of
x
,
y
,
z
and
w
.
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Solution
Since, matrices are equal then, their corresponding elements are also equal.
⇒
x
y
=
8
---- ( 1 )
⇒
4
=
ω
---- ( 2 )
⇒
z
+
6
=
0
----- ( 3 )
⇒
x
+
y
=
6
------ ( 4 )
From equation ( 1 ),
x
y
=
8
⇒
x
=
8
y
---- ( 5 )
Substituting
x
=
8
y
in equation ( 4 ),
⇒
8
y
+
y
=
6
⇒
8
+
y
2
y
=
6
⇒
8
+
y
2
=
6
y
⇒
y
2
−
6
y
+
8
=
0
⇒
(
y
−
4
)
(
y
−
2
)
=
0
⇒
y
=
4
and
y
=
2
Substituting value of
y
in equation ( 5 ),
If
y
=
4
⇒
x
=
8
4
∴
x
=
2
If
y
=
2
⇒
x
=
8
2
∴
x
=
4
From equation ( 3 ),
z
+
6
=
0
∴
z
=
−
6
⇒
x
=
2
or
x
=
4
,
y
=
4
or
y
=
2
,
ω
=
4
and
z
=
−
6
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0
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