MatricesDeterminants

Watch the area change.

Inside the matrix we have i = (${ipoint.x}, ${ipoint.y}) and j = (${jpoint.x}, ${jpoint.y})

The deterimant is ${determinant}

Choose one of these buttons.

Demonstrate how basic transformations effect the determinant {.todo} Demonstrate possible values: less than 1, greater than 1, negative, zero

Matrices can have a determinant of zero. What does this mean?

The formula for the determinant of a 2x2 matrix is:

ad−bc

matrix:

a, b

c, d

The area determinant is equal to the area ad minus the area bc.

Let's see why this is true geometrically.

The shapes are blocking each other when targeted.

Could do an animation that shows how the triangles fit together, like in Pythagoras.

Determinants only exist for square matrices.