If (begin{vmatrix} m-2 & m+1 \ m+4 & m-2 end{vmatrix} = -27), find the value of m.
-
A.
(3frac{8}{9}) -
B.
(3) -
C.
(2frac{1}{2}) -
D.
(2)
Correct Answer: Option B
Explanation
(begin{vmatrix} m-2 & m+1 \ m+4 & m-2 end{vmatrix} = -27)
((m^{2} – 4m + 4) – (m^{2} + 5m + 4) = -27)
(-9m = -27 implies m = 3)