Find the values of the following determinants :
(i) `|{:(12,3,4),(16,5,0),(21,-1,2):}|`
(ii) `|{:(256,240,219),(240,225,198),(219,198,181):}|`
(iii) `|{:(17,19,24),(6,8,13),(-1,1,6):}|`
(iv) `|{:(67,19,21),(39,13,14),(81,24,26):}|`
(v) `|{:(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),omega,1):}|" where "omega "is a cube root of unity".`
(iv) `|{:(1,x,y),(0,(2pi)/5,sin(pi)/10),(0,sin((2pi)/5),cos(pi)/10):}|`

Answer

(i) -460
(ii) 0
(iii) 0
(iv) -43
(v) 0
(vi) 0