Millionaire Mode

Civil Engg. (GATE) 2011

Question 1 of 65

[A] is a square matrix which is neither symmetric nor skew-symmetric and [A]T is its transpose. The sum and difference of these matrices are defined as [S] = [A] + [A]T and [D] = [A] – [A]T respectively. Which of the following statements is TRUE?

  1. Both [S] and [D] are symmetric.
  2. Both [S] and [D] are skew-symmetric.
  3. [S] is skew-symmetric and [D] is symmetric.
  4. [S] is symmetric and [D] is skew-symmetric.

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000