DeterminantHard
Question
If D is a determinant of order three and ᐃ is a determinant formed by the cofactors of determinant D ; then
Options
A.ᐃ = D2
B.D = 0 implies ᐃ = 0
C.if D = 27, then ᐃ is perfect cube
D.none of these
Solution
For nth order determinant ᐃ = |Cij| = Dn -1
(A) For 3rd order determinant ᐃ = D3-1 = D2 ... (1)
(B) From (1) if D = 0 then ᐃ = 0
(C) ᐃ = 27 = 33
ᐃ = (33)2 = 36 (a perfect cube)
(A) For 3rd order determinant ᐃ = D3-1 = D2 ... (1)
(B) From (1) if D = 0 then ᐃ = 0
(C) ᐃ = 27 = 33
ᐃ = (33)2 = 36 (a perfect cube)
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