DeterminantHard

Question

If the system of linear equation x + ay + az = 0, x + by + bz = 0, x + cy + cz = 0 has a non-zero solution then

Options

A.System has always non-trivial solutions.
B.System is consistent only when a = b = c
C.If a ≠ b ≠ c then x = 0, y = t, z = - t ∀ t ∈ R
D.If a = b = c then y  = t1, z = t2, x = - a(t1 + t2) ∀ t1, t2 ∈ R

Solution

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