Find the determinant of a given 3x3 matrix.
You might need: Calculator

Problem

A=[122120214]\text A = \left[\begin{array}{rrr}-1 & -2 & -2 \\ -1 & 2 & 0 \\ 2 & -1 & 4\end{array}\right]
What is the determinant of A?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i