Given that (begin{pmatrix} 1 & -3 \ 1 & 4 end{pmatrix} begin{pmatrix} -6 \ P end{pmatrix} = begin{pmatrix} 3 \ -26 end{pmatrix}), find the value of P.
-
A.
-8 -
B.
-5 -
C.
4 -
D.
-3
Correct Answer: Option D
Explanation
(begin{pmatrix} 1 & -3 \ 1 & 4 end{pmatrix} begin{pmatrix} -6 \ P end{pmatrix} = begin{pmatrix} 3 \ -26 end{pmatrix})
(implies (1 times -6) + (-3 times P) = 3)
(-6 – 3P = 3 implies -3P = 9)
(P = -3)