If Q is[9−2−74] [ 9 − 2 − 7 4 ] , then |Q| is

If Q is$\left[\begin{array}{cc}9& -2\\ -7& 4\end{array}\right]$, then |Q| is

Answer Details

To find |Q|, we need to take the determinant of the matrix Q and then take its absolute value. So, we have: |Q| = |9 -2 -7| |-2 0 -4| |-7 -4 0| Expanding along the first row, we get: |Q| = 9(0 - (-4)) - (-2)(-4 - (-7)) - (-7)(-4 - 0) |Q| = 36 - 2(3) + 28 |Q| = 59 Therefore, the correct option is (D) 50.