DeterminantHard
Question
If a, b, c, are real numbers, and D = 
then D is
then D is Options
A.purely real
B.purely imaginary
C.non real
D.integer
Solution
D = 
By expanding above determinant we get
abc - 58a - 5c - 34b + 164 i.e., purely real.
Aliter : observe that D = DT
and
= DT = D i.e. 
= D
i.e. D is real
is a conjugate of D
By expanding above determinant we get
abc - 58a - 5c - 34b + 164 i.e., purely real.
Aliter : observe that D = DT
and
= DT = D i.e. = Di.e. D is real
is a conjugate of D Create a free account to view solution
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