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Question
Mathematics
If 2A+3B =[ 2&-1 &4 3&2& 5 ] and A+2B [ 5&0 &3 1&6& 2 ] then B =
Q. If
2
A
+
3
B
=
[
2
3
−
1
2
4
5
]
and
A
+
2
B
[
5
1
0
6
3
2
]
then
B
=
2509
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A
[
8
1
1
10
2
1
]
12%
B
[
8
−
1
1
10
−
2
−
1
]
23%
C
[
8
−
1
1
10
2
−
1
]
42%
D
[
8
−
1
−
1
10
2
−
1
]
23%
Solution:
We have
2
A
+
3
B
=
[
2
3
−
1
2
4
5
]
…
(
i
)
and
A
+
2
B
=
[
5
1
0
6
3
2
]
…
(
ii
)
Multiply Eq. (ii) by 2 and subtracting Eq.(i) from (ii), we get
B
=
2
[
5
1
0
6
3
2
]
−
[
2
3
−
1
2
4
5
]
=
[
8
−
1
1
10
2
−
1
]