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Byju's Answer
Standard XII
Mathematics
Definition of Relations
State the fol...
Question
State the following statement is true or false
"Determinant of a skew symmetric matrix is zero".
The above statement is True/False ?
A
True
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B
False
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Solution
The correct option is
A
True
Skew symmetric matrix means
A
=
−
A
T
Now apply determinant on both sides , we get
|
A
|
=
|
−
A
T
|
⇒
|
A
|
=
−
|
A
T
|
We know that
|
A
T
|
=
|
A
|
⇒
|
A
|
=
−
|
A
|
⇒
|
A
|
=
0
Therefore the determinant of a skew symmetric matrix is zero
So the given statement is correct
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