Find p, q for which (begin{pmatrix} 2p & 8 \ 3 & -5q end{pmatrix})(begin{pmatrix} 1 \ 2end{pmatrix})(begin{pmatrix}24 \ -17end{pmatrix})
-
A.
-4 -
B.
45 -
C.
4,2 -
D.
2
Correct Answer: Option D
Explanation
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