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NDA Math Matrices
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© examsnet.com
Question : 59
Total: 69
If
X
=
[
3
−
4
1
−
1
]
,
B
=
[
5
2
−
2
1
]
and
A
=
[
p
q
r
s
]
satisfy the equation AX = B then matrix A is equal to
[NDA I 2015]
[
−
7
26
1
−
5
]
[
7
26
4
17
]
[
−
7
−
4
26
13
]
[
−
7
26
−
6
23
]
Validate
Solution:
Consider the given matrices
A
=
(
p
q
r
s
)
X
=
(
3
−
4
1
−
1
)
A
x
=
(
p
q
r
s
)
(
3
−
4
1
−
1
)
=
(
3
p
+
q
−
4
p
−
q
3
r
+
s
−
4
r
−
s
)
=
B
=
(
5
2
−
2
1
)
Hence by comparing the elements of the matrices, we get
3
p
+
q
=
5
−
4
p
−
q
=
2
Solving for p and q, yields
p
=
−
7
q
=
26
Similarly
3
r
+
s
=
−
2
−
4
r
−
s
=
1
r
=
1
s
=
−
5
Hence matrix A is equal to
A
=
(
p
q
r
s
)
=
(
−
7
26
1
−
5
)
© examsnet.com
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