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&β9@3&9&0)]
Aβ = [β 8(0&β2&3@2&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)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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