Cayley- Hamilton Theorem : B.Sc. Mathematics : Linear Algebra #linearalgebra #cayleyhamiltontheorem
For a video explanation, click here 👉 https://youtu.be/NIQCW-Jg9yo Cayley-Hamilton Theorem : Statement : Every square matrix satisfies its characteristic equation Proof : * Basis Extension Theorem * V/W forms a vector space * Show that the set { ( 1 , 2 , 1 ) , ( 2 , 1 , 0 ) , ( 1 , -1 , 2 } forms a basis of V3 ( F )