Suppose $$\begin{bmatrix}a & a^2 & b^2 & -1 \\b & b^2 & b^3 & -1 \\ c & c^2 & c^3 & -1 \end{bmatrix}=0$$, where a, b and c care distince real numbers. If a = 3, then the value of abc is ________________.
Correct Answer: 1
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