Archive for the ‘Beautiful Proofs’ Category
Multiplicity of the Determinant.
wednesday, november 10th, 2010This post shows a way to quickly show that the determinant is multiplicative without getting your hands dirty.
A Topological Proof of the Cayley-Hamilton Theorem over all Commutative Unitary Rings.
monday, may 4th, 2009We want to give a proof of the Cayley-Hamilton Theorem for all commutative rings with unity, which first reduces to the case of the field of complex numbers and then applies a topological argument.
Fundamental Theorem of Algebra.
monday, may 4th, 2009We want to give a proof of the Fundamental Theorem of Algebra using methods from Complex Analysis, in particular Liouville’s Theorem.
