Question 1 If A =[π_ππ ] is a skew-symmetric matrix of order n, then (a) π_ππ = 1/π_ππ β π,π (b) π_ππ β 0 β π,π (c) π_ππ = 0, π€βπππ π = π (d) π_ππ β 0 π€βπππ π = j In a In a skew symmetric matrix
Aβ = βA
For example
If A = [β 8(0&2&β3@β2&0&β[email protected]&9&0)]
Aβ = [β 8(0&β2&[email protected]&0&9@β3&β9&0)]
β΄ Aβ = βA
So, A is a skew symmetric matrix
Now,
We note that in every skew symmetric matrices
Diagonal elements are zero
i.e. a11 = 0, a22 = 0, a33 = 0
Thus, we can say that π_ππ = 0, π€βπππ π = π
So, the correct answer is (c)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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