DeterminantHard

Question

If a, b, and c, nonzero real numbers, then is equal to -

Options

A.a2b2c2(a + b + c)
B.abc(a + b + c)2
C.zero
D.non of these

Solution

D =
(R1 → aR1, R2 → bR2, R3 → cR3)
= abc
= abc (ab + bc + ca)
(C1 → C3 + C1)
= 0

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