Home Board Paper Solutions Text Book Solutions Articles NCERT Exemplar Solutions NCERT Books

Class 12th Mathematics 2017 Set1 Delhi Board Paper Solution

Question 5

Show that all the diagonal elements of a skew symmetric matrix are zero.

Answer

Let A = [aij] n × n be skew symmetric matrix

A is skew symmetric 

∴ A = –A/

⇒  aij = –aji  ∀ i, j

For diagonal elements i = j,

⇒ 2aii = 0

⇒ aii = 0

⇒ diagonal elements are zero.

Popular Questions of Class 12th mathematics

Recently Viewed Questions of Class 12th mathematics