If Pqr ≠ 0 And The System Of Equations (p + A)x + By + Cz = 0 Ax + (q + B)y + Cz = 0 Ax + By + (r + C)z = 0 Has Sc Non – Trivial Solution, Then Value Of

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Question

If pqr ≠ 0 and the system of equations

         (p + a)x + by + cz = 0

         ax + (q + b)y + cz = 0

          ax + by + (r + c)z = 0

has sc non – trivial solution, then value of

– 1
0
1
2

medium

Solution

Correct option is

– 1

Applying R₂ → R₂ → R₁ and R₃ → R₃ – R₁. We get

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