Question 1 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

If A =[a
_{
ij
}
] is a skew-symmetric matrix of order n, then

(a) a
_{
ij
}
= 1/a
_{
ji
}
∀ π,π

(b) a
_{
ij
}
≠ 0 ∀ π,π

(c) a
_{
ij
}
= 0, π€ℎπππ π = π

(d) a
_{
ij
}
≠ 0 π€ℎπππ π = j

Transcript

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)

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!