Part 2 of the Fundamental Theorm of Algebra says that null space of matrix A is orthogonal to row space of A and left null space is orthogonal to column space.
Part 2 of the Fundamental Theorm of Algebra says that null space of matrix A is orthogonal to row space of A and left null space is orthogonal to column space.
Uuh? The fundamental Theorem of Algebra, as far as I know, is the one that states that the field of complex numbers is an algebraically closed field, and has nothing to do directly with matrices.