DeterminantHard
Question
If ᐃ = 
, then
, then Options
A.x - y is a factor ofᐃ
B.(x - y)2 is a factor of ᐃ
C.(x - y)3 is a factor of ᐃ
D.ᐃ is independent of z
Solution
ᐃ = 
Applying R2 → R2 - R1 & R3 → R3 - R1
= 4(x - y)2 (x + y - z)
So D is divisible by (x - y) & (x - y)2.
Applying R2 → R2 - R1 & R3 → R3 - R1
= 4(x - y)2 (x + y - z)
So D is divisible by (x - y) & (x - y)2.
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