`|(67,21,19), (39, 14, 13), (81, 26, 24)|` is

Find the Determinant :- |[67, 19, 21], [39, 13, 14], [81, 24, 26]|

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):}|

Calculate the covariance of observation (3,5), (6,7),(9,9), (12,11), (15,13), (18,15), (21,17), (24, 19) using assumed mean A = 13 and B = 12.

Evaluate |{:(13,16,19),(14,17,20),(15,18,21):}| .

Evaluate |{:(13,16,19),(14,17,20),(15,18,21):}| .

Evaluate |{:(13,16,19),(14,17,20),(15,18,21):}| .

|{:(13,16,19),(14,17,20),(15,18,21):}|

D_(3) for data: 16, 21, 27, 13, 19, 26, 25, 12, 17, 28 is

12 14 17 13 8 14 21 13 4 ?