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Standard XII
Mathematics
Addition and Subtraction of a Matrix
Question
If
A
+
B
=
[
10
8
8
4
]
and
A
−
B
=
[
2
−
4
0
6
]
,
then
A
is
[
6
2
4
5
]
[
6
2
4
6
]
[
4
6
4
−
1
]
[
1
3
4
5
]
A
[
6
2
4
5
]
B
[
4
6
4
−
1
]
C
[
1
3
4
5
]
D
[
6
2
4
6
]
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Solution
Verified by Toppr
We have,
A
+
B
=
[
10
8
8
4
]
a
n
d
A
−
B
=
[
2
−
4
0
6
]
Now, On adding them, we get
A
+
B
+
A
−
B
=
[
10
8
8
4
]
+
[
2
−
4
0
6
]
⇒
2
A
=
[
12
4
8
10
]
⇒
A
=
[
6
2
4
5
]
So,
A
is the correct option.
Was this answer helpful?
3
Similar Questions
Q1
If
A
+
B
=
[
10
8
8
4
]
and
A
−
B
=
[
2
−
4
0
6
]
,
then
A
is
View Solution
Q2
If
A
=
(
1
3
4
5
)
then
A
−
1
equals
View Solution
Q3
Evaluate:
(
a
+
b
)
(
a
−
b
)
(
a
2
+
b
2
)
is
a
4
−
b
4
.
If true, then enter
1
and if false, then enter
0
.
View Solution
Q4
If
1
a
+
1
b
+
1
c
=
1
and
a
b
c
=
2
,
then
a
b
2
c
2
+
a
2
b
c
2
+
a
2
b
2
c
=
_
_
_
_
_
_
_
_
_
_
_
_
.
View Solution
Q5
If
a
+
b
=
1
and
a
−
b
=
7
, then find
a
2
+
b
2
View Solution