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Q54Section C (Section C)54 of 60

Determinant of a four by four block matrix

If ad−bc=2ad-bc=2 and ps−qr=1ps-qr=1, then the determinant of [ab003102pqcd00272rs]\begin{bmatrix}a&b&0&0\\3&10&2p&q\\c&d&0&0\\2&7&2r&s\end{bmatrix} equals _________

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