Alright, future engineers!
A **Determinant** is a scalar value from a square matrix, indicating if it's invertible. Ex: For A=[[a,b],[c,d]], det(A)=ad-bc. Pro-Tip: If det(A)=0, the matrix is singular – it has no inverse!

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@kipriyanovich Which also means the vectors (a, b) and (c, d) are linearily independent of each other.
@kipriyanovich Additionally, |det(A)| is the length of the normal vector to the plane spanned by the kolumn vectors and also the area of the parallelogram.