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 = [a_ij] _{n × n} be skew symmetric matrix

A is skew symmetric

∴ A = –A/

⇒ a_ij = –a_ji ∀ i, j

For diagonal elements i = j,

⇒ 2a_ii = 0

⇒ a_ii = 0

⇒ diagonal elements are zero.

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Class 12th Mathematics 2017 Set1 Delhi Board Paper Solution

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

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