11 votes 11 votes If $\text{A}$ is a skew symmetric matrix then $\text{A}^t$ is Diagonal matrix $\text{A}$ $0$ $-\text{A}$ Linear Algebra isro2017 linear-algebra matrix + – sh!va asked May 7, 2017 • edited Dec 8, 2022 by Lakshman Bhaiya sh!va 5.5k views answer comment Share Follow See 1 comment See all 1 1 comment reply Dheeraj Pant commented May 7, 2017 reply Follow Share Option D 0 votes 0 votes Please log in or register to add a comment.
Best answer 11 votes 11 votes 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... akash.dinkar12 answered May 7, 2017 • selected May 7, 2017 by Arjun akash.dinkar12 comment Share Follow See all 0 reply Please log in or register to add a comment.
3 votes 3 votes A skew symmetric matrix is a matrix where elements aij = -aji where i!=j So transpose(A)= -A Archies09 answered May 7, 2017 Archies09 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Answer: D Condition for Symmetric Matrix : $A=A^{T}$ Condition for Skew Symmetric Matrix : $A=-A^{T}$ So, $A^{T} = -A$ shivam001 answered Sep 21, 2020 shivam001 comment Share Follow See all 0 reply Please log in or register to add a comment.