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If the system of equation ax + by + cz =...

If the system of equation ax + by + cz = 0, bx + cy + az = 0, cx + ay + bz = 0 has non-trivial solution then find the value of `|{:(bc-a^2,ca-b^2,ab-c^2),(ca-b^2, ab-c^2, bc-a^2),(ab-c^2, bc-a^2, ca-b^2):}|`

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