Khan Academy: Pre Calculus: Complex Determinant Example

A video showing the step-by-step solution to a difficult determinant problem from the IIT-JEE. This is problem 53 from Paper 1 of the 2010 exam. A 3 X 3 matrix is given in terms of z and omega, where omega is defined as a complex number written in polar coordinates. The student must find the number of complex numbers, z, which satisfy the equation where the determinant of the matrix is equal to 0. This problem is useful in practicing determinants of 3 X 3 matrices and finding complex roots. [12:58]