Question

Show that elements on the main diagonal of skew symmetric matrix are all zero.​

Answer 1

Answer:

Show that the elements on the main diagonal of a skew-symmetric matrix are all zero. Let A=[aij] be a skew-symmetric matrix. Then, ... =ann=0.

Answer 2

Answer:

Let A = [aij] be a skew-symmetric matrix.

Then,  aij  = −aji ​ for all i, j.

= a ii  = −aii  for all values of i.

= 2aii = 0

= aii  = 0 for all values of i.

= a11   = a22 ​  = a 33  = ann  =0.