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对于整数\(a\)、\(b\)、\(c\)、\(d\)规定符号\(\left| {\begin{array}{*{20}{l}} a&b \\ d&c \end{array}} \right| = ac - bd\),若\(1 < \left| {\begin{array}{*{20}{l}} 1&b \\ d&4 \end{array}} \right| < 3\),则\(b + d = \)___。
参考答案:\( \pm 3\)
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