1. The problem statement, all variables and given/known data Show that the -1 -2 4 -1 2x2 matrix has one square root. 2. Relevant equations det(A-λI) to find Eigenvalues (A-λI)v=0 to find Eigenvectors A1/2 = V D1/2 V-1 to find the square root of A where V is the created matrix with the eigenvectors of A, and D is the diagonalized matrix A 3. The attempt at a solution I know I can use diagonalization to find the square root: Using the formula its eigenvalues are -1+(-32)1/2 and -1-(-32)1/2 But I don't know how to find the eigenvectors given that (-32)1/2 it's a complex number.