1 votes 1 votes If A is a Skew Symmetric MAtrix then A.A is_______ a)symmetric b)skew-symmetric c)Diagonal d)nothing can be said Aboveallplayer asked Aug 16, 2016 Aboveallplayer 909 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 2 votes 2 votes for skew symmetric : A=-$A^T$ (A).A=$-A^T$.A (A).A=$-A^T$.$-A^T$ A.A=$A^T$.$A^T$ A.A=$(A.A)^T$ (property of symmetric matrix) hence A.A is symmetric shikhar_deep05 answered Aug 17, 2016 • selected Sep 10, 2016 by Aboveallplayer shikhar_deep05 comment Share Follow See 1 comment See all 1 1 comment reply Sushant Gokhale commented Sep 9, 2016 reply Follow Share Hey guys. For skew symmetric, the diagonal elements are zero. Hence, A.A is a diagonal matrix. CHeck it. 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes I am getting SKEW_SYMMETRIC but answer is symmetric how? Aboveallplayer answered Aug 16, 2016 Aboveallplayer comment Share Follow See all 4 Comments See all 4 4 Comments reply vijaycs commented Aug 17, 2016 reply Follow Share you are correct ... 0 votes 0 votes srestha commented Aug 17, 2016 reply Follow Share But is it true for all other matrix too? 0 votes 0 votes vijaycs commented Aug 17, 2016 reply Follow Share sorry, for n=2, it is skew- symm. but, for n=3, it may not be kew-symm. So, nothing can be said .. right srestha ?? 1 votes 1 votes srestha commented Aug 17, 2016 reply Follow Share yes . 0 votes 0 votes Please log in or register to add a comment.