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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
2p x 1 + 8 x 2 = 24
\(\to\) 4p = 24 - 8 = 16,
p = 4
3 x 1 + -5q x 2 = -17
\(\to\) -10q = -17 - 3
-10q = -20
q = 2
Source: WAEC / JAMB / NECO Classroom Archive (Record #30481)