Without expanding, prove that the value of each of the following determinant is zero 39 6 a. -7 6 - 14 2 5 4 b+c b C c+a C a a+b a b 1 @ w e. w 1 w 1 x-y y-Z 3 3. 2 15 b. 5 11 17 7 13 19 1 bc a(b+c) d. 1 ca b(c+ a) 1 ab c(a+b) [w is imaginary cube root of unity] Z-X 1 a a-bc f. y-z Z-X x-y g. 1 b b-ca z-x x-y y-z 1 c c-ab C 1 yz yz(y + z) h. 1 ZX zx zx(z+x)