DeterminantHard
Question
The parameter, on which the value of the determinant 
does not depend upon, is
does not depend upon, is Options
A.a
B.p
C.d
D.x
Solution
Let 
Applying C1 → C1 + C3
⇒
⇒
Applying C1 → C1 - 2 cos dx C3
⇒
⇒ ᐃ = (1 + a2 - 2a cos dx) [sin( p + d)x cos px - sin px cos( p + d)x]
⇒ ᐃ = (1 + a2 - 2a cos dx) sin dx
Which is independent of P
Applying C1 → C1 + C3
⇒
⇒
Applying C1 → C1 - 2 cos dx C3
⇒
⇒ ᐃ = (1 + a2 - 2a cos dx) [sin( p + d)x cos px - sin px cos( p + d)x]
⇒ ᐃ = (1 + a2 - 2a cos dx) sin dx
Which is independent of P
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