ISRO CSE 2017 | Question: 1

Question

If $\text{A}$ is a skew symmetric matrix then $\text{A}^t$  is

• A. Diagonal matrix 
• B. $\text{A}$
• C. $0$
• D. $-\text{A}$

Comments

Option D

Answer 1

For symmetric matrix, the condition :  A^t  = A       where t= transpose of matrix

For skew Symmetric matrix , the condition : A^t = -A

So i think option D will be answer...

Answer 2

A skew symmetric matrix is a matrix where elements aij = -aji where i!=j

So transpose(A)= -A

Answer 3

Answer: D

Condition for  Symmetric Matrix :   $A=A^{T}$

Condition for Skew Symmetric Matrix :   $A=-A^{T}$

So,  $A^{T} = -A$