The determinant calculator allows to find determinants online. The calculator can calculate determinant of two vectors , determinant of three vectors or determinant of matrix .

Determinant of two vectors (determinant 2x2)

In an orthonormal coordinate system (O,`vec(i)`,`vec(j)`) , the vector `vec(u)` has coordinates (x,y) (`vec(i)`,`vec(j)`), the vector `vec(v)` has coordinates (x',y'). The determinant of `vec(u)` et `vec(v)` is equal to the number xx'-yy'.

The calculator can calculate determinants giving exact results : to calculate the determinant of (3,`1/2`) and (`4/5`,2), enter determinant([[3;1/2];[4/5;2]]), after calculation, the result is returned.