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Byju's Answer
Standard IX
Mathematics
Transpose of a Matrix
A =[ a ij ] n...
Question
A
=
[
a
i
j
]
n
×
n
and
a
i
j
=
i
2
−
j
2
then A is necessarily
A
a unit matrix
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B
symmetric matrix
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C
skew symmetric matrix
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D
zero matrix
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Solution
The correct option is
C
skew symmetric matrix
a
j
i
=
j
2
−
i
2
=
−
(
i
2
−
j
2
)
=
−
a
i
j
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0
Similar questions
Q.
A
=
[
a
i
j
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n
×
n
and
a
i
j
=
i
2
−
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then A is necessarily
Q.
A
=
[
a
i
j
]
n
×
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and
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j
=
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−
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then A is necessarily
Q.
Let
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=
[
a
i
j
]
n
×
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i
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−
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. Show that
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Q.
Let
A
=
[
a
i
j
]
n
×
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where
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i
j
=
I
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−
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. Show that A is skew-symmetric matrix.
Q.
If A is a square matrix
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is symmetric matrix, then
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