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Standard XII
Mathematics
Addition and Subtraction of a Matrix
Question
If
A
=
[
5
x
y
6
]
,
B
=
[
−
4
y
−
4
−
5
]
and
A
+
B
=
I
,
then the values of
x
and
y
respectively are
−
4
,
−
4
4
,
4
4
,
−
4
−
4
,
4
A
4
,
4
B
−
4
,
4
C
−
4
,
−
4
D
4
,
−
4
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Solution
Verified by Toppr
The correct option is
A
−
4
,
4
Since,
A
+
B
=
I
⇒
[
1
x
+
y
y
−
4
1
]
=
[
1
0
0
1
]
On comparing, we get
x
+
y
=
0
,
y
−
4
=
0
∴
x
=
−
4
,
y
=
4
.
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