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Find p q for which begin pmatrix 2p amp 8 3 amp... - JAMB Mathematics 2006 Question

Find p, q for which \(\begin{pmatrix} 2p & 8 \ 3 & -5q \end{pmatrix}\)\(\begin{pmatrix} 1 \ 2\end{pmatrix}\)\(\begin{pmatrix}24 \ -17\end{pmatrix}\)
A
-4
B
45
C
4,2
D
2
correct option: d

2p x 2 + 8 x 1 = 24

(\to) 4p = 24 - 8 = 16, p = 4

3 x 1 + -5q x 2 = -17

(\to) -10q = -17 - 3

-10q = -20

q = 2

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