What can you say about determinant of a Skew Symmetric matrix of odd order? Is it Zero? Why?

In this video we will talk about determinant of a skew symmetric matrix of odd order.
We will prove that : If A is a square matrix of order n such that A is skew symmetric then determinant is always zero.

Note that this is true only for odd order, if order of matrix is even then you cannot say anything about the determinant of skew symmetric matrix.

[MalKediler]

thanks, this is helping students from every corner of the world even after 2 years.

[noe_leviathan]

Wow that was actually i am moving to India to join Your classes

[raiabishek]

Sir! If A is square matrix of odd order
Then it's determinant will always be zero?
Despite the fact that its symmetrical or skew-symmetrical?

[memesarc]

Sir a question
Construct a 3x4 matrix where aij = I+j if I+j - even
I+j if I+j - odd

[rajshaw]

Thank you sir
I was unaware of this property

[max]

Sir i m confused what is order like 3 × 3 = 9 is the order which is odd or the 3 and 3 are odd

[nighatlone]

The rank of skew symmetric matrix [ 0 1 0 1
-1 0 1 0
0 -1 0 1
-1 0 -1 0 ]
Options
A) 1
B) 2
C) 3
D) 4.