U12) (a) (n +n-4)/2 (b) n-n+4)/2 (c) (n +n-3)/2 (d) (n-n+3)/2. exercise 4. let n be a positive integer and let h, be the space of all nxn matrices a = lawith en

U12) (a) (n +n-4)/2 (b) n-n+4)/2 (c) (n +n-3)/2 (d) (n-n+3)/2. Exercise 4. Let n be a positive integer and let H, be the space of all nxn matrices A = lawith entries inR satisfying a =a, whenever i + j = r+ s(i, j, r, s = 1,., n). Then the dimension of H,, as a vector space over R, is (CSTR UGCNET DEC- 2011