Evaluate the determinant for the following matrix [-2 5 4 3]

I'm assuming that the matrix is a 2 x 2 matrix.

| - 2 5 |

| 4 3 |

To determine the determinant of the matrix, we simply find the difference of the product of its diagonals.

| a b |

| c d | → ad - bc = determinant

| - 2 5 |

| 4 3 | → [ (-2) * 3] - (5*4) = - 6 - 20 = - 26

Even though the determinants are place in an absolute-value bars, they can still be negative form.

The determinant in the above matrix is - 26.