1. The problem statement, all variables and given/known data Prove that a square matrix is invertible if and only if no eigenvalue is zero. 2. Relevant equations 3. The attempt at a solution If a matrix has an inverse then its determinant is not equal to 0. Eigenvalues form pivots in the matrix. If any of the pivots are zero, then the determinant will be 0?...Is this correct logic? If so, how do I write it as a formal proof?