Let ' \( * \) ' be a binary operation on \( \mathbf{Q} \) defined by \( a * b=\frac{a b}{4} \). ...

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Let ' \( * \) ' be a binary operation on \( \mathbf{Q} \) defined by \( a * b=\frac{a b}{4} \).
Every non-zero element is invertible. If \( a \neq 0 \in Q \), find its inverse.
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