How to use in-sentence of “determinant”:
+ For larger matrices, the determinant is harder to calculate.
+ If the determinant is 0, then the matrix is called non-invertible or singular.
+ A negative determinant means that the volume was mirrored over an odd number of axes.
+ A matrix has an inverse matrix exactly when the determinant is not 0.
+ If the determinant is zero, then there is either no unique non-trivial solution, or there are infinitely many.
+ In decoherence, an interaction with the field takes the observer into only one determinant constellation of the quantum field, and so all observations align with that new, combined quantum state.
+ Indeed, the determinant is unchanged if in the last position only changes its sign.
+ Whenever this happens, the sign of the determinant changes from positive to negative, or from negative to positive.

