Schur Triangularization
We prove the Schur Triangularization Theorem which is also known as the Schur Decomposition. This theorem states that for any nxn complex matrix, A, there is an upper triangular matrix T and and unitary matrix U such that A = UTU^*. This asserts that every nxn matrix is unitarily similar to an upper triangular matrix. This theorem is an extremely power tool in proving other theorems such as the complex spectral theorem and the Cayley Hamilton Theorem which we will prove in future videos.
#mikethemathematician, #profdabkowski, #mikedabkowski
Watch video Schur Triangularization online without registration, duration hours minute second in high quality. This video was added by user Mike, the Mathematician 08 August 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 383 once and liked it 11 people.