Question:
If D = ab c de f gh i and A, B, C, D and G are the cofactors of the elements a, b, c, d and g respectively, then what is bB +cC – dD -gG equal to?
If D = ab c de f gh i and A, B, C, D and G are the cofactors of the elements a, b, c, d and g respectively, then what is bB +cC – dD -gG equal to?
Options:
- a) 0
- b) 1
- c) D
- d) -D
- a) 0
- b) 1
- c) D
- d) -D
correct answer : a)
Explanation:
Cofactors: A = ei – hf, B = gf – di, C = dh – ge
D = ch – bi and G = bf – ec
Now, bB + cC – dD – gG
= bgf – bdi + cdh – cge – cdh + bdi – gbf + gec = 0
Cofactors: A = ei – hf, B = gf – di, C = dh – ge
D = ch – bi and G = bf – ec
Now, bB + cC – dD – gG
= bgf – bdi + cdh – cge – cdh + bdi – gbf + gec = 0