Show that the determinant of $A$ is equal to the product of its eigenvalues. – math.stackexchange.com

Show that the determinant of $A$ is equal to the product of its
eigenvalues. – math.stackexchange.com

Show that the determinant of $A$ is equal to the product of its
eigenvalues $\lambda_i$. So I'm having a tough time figuring this one out.
I know that I have to work with the characteristic ...