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Question
Mathematics
if [a+b&2 5&ab] = [6&2 5&8], then find the values of a and b respectively
Q. if
[
a
+
b
5
2
ab
]
=
[
6
5
2
8
]
, then find the values of a and b respectively
3254
195
Matrices
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A
2
,
4
10%
B
4
,
2
11%
C
Both (a) & (b)
72%
D
None of these
7%
Solution:
since
[
a
+
b
5
2
ab
]
=
[
6
5
2
8
]
⇒
a
+
b
=
6
and
ab
=
8
⇒
a
+
a
8
=
6
(
∴
ab
=
8
⇒
b
=
a
8
)
⇒
a
2
−
6
a
+
8
=
0
⇒
(
a
−
2
)
(
a
−
4
)
=
0
⇒
a
=
2
,
4
hence,
a
=
2
,
b
=
4
, or
a
=
4
,
b
=
2