Tag: determinant

What does it mean to have a determinant equal to zero?

it is possible to find another way to solve the system of equations when the determinant is zero without using the inverse of the matrix directly. Why can’t we find the inverse of a matrix when the determinant is equal to zero? Let’s remind that the determinant of a matrix&nbs...

The Jacobian Determinant: How exactly does it work?

Named after German mathematician Carl Gustav Jacob Jacobi, the Jacobian determinant (or just the Jacobian) is required when evaluating multiple integrals after undergoing a change of variables. To understand the Jacobian, it may help to consider the analogous case in single variable calculus wher...