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Byju's Answer
Standard XII
Mathematics
Theorems for Continuity
2× 2 matrix w...
Question
2
×
2
matrix where elements come from
{
p
,
q
,
r
,
s
}
without repeating satisfying following conditions :-
a
11
≠
p
a
12
≠
q
a
21
≠
r
a
22
≠
s
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Solution
The elements of
2
×
2
matrix are
{
p
,
q
,
r
,
s
}
But
a
11
≠
p
a
12
≠
q
a
21
≠
r
a
22
≠
s
So there are
9
possibilities
The matrices can be from one the the following.
[
q
p
s
r
]
[
q
r
s
p
]
[
q
s
p
r
]
[
r
p
s
q
]
[
r
s
p
q
]
[
r
s
q
p
]
[
s
p
q
r
]
[
s
r
p
q
]
[
s
r
q
p
]
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Similar questions
Q.
Given that the equation
z
2
+
(
p
+
i
q
)
z
+
r
+
i
s
=0 where p,q,r,s are real and non-zero has a real root, then