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)