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JEEMAIN and NEET
>>
Mathematics
>>
Class12
>>
Matrices
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Q)
For each real numbers
x
such that
−
1
<
x
<
1
let
A
(
x
)
be the matrix.
(
1
−
x
)
−
1
2
[
1
−
x
−
x
1
]
and
z
=
x
+
y
1
+
x
y
.Then
(
A
)
A
(
z
)
=
A
(
x
)
+
A
(
y
)
(
B
)
A
(
z
)
=
A
(
x
)
[
A
(
y
)
]
−
1
(
C
)
A
(
z
)
=
A
(
x
)
A
(
y
)
+
√
1
+
x
y
(
D
)
A
(
z
)
=
A
(
x
)
−
A
(
y
)
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